http://researchonline.federation.edu.au/vital/access/manager/Index ${session.getAttribute("locale")} 5 The non-smooth and bi-objective team orienteering problem with soft constraints http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14821 Wed 25 Nov 2020 14:08:42 AEDT ]]> Nonlinear transversality of collections of sets : dual space necessary characterizations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14714 Wed 07 Apr 2021 14:02:48 AEST ]]> Spatial modelling of bacterial diversity over the selected regions in Bangladesh by next-generation sequencing : role of water temperature http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14470 Wed 07 Apr 2021 14:02:33 AEST ]]> Finite alternation theorems and a constructive approach to piecewise polynomial approximation in chebyshev norm http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14377 Wed 07 Apr 2021 14:02:28 AEST ]]> Canonical dual finite element method for solving nonconvex mechanics and topology optimization problems http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14310 Wed 07 Apr 2021 14:02:24 AEST ]]> Valadier-like Formulas for the Supremum Function II: The Compactly Indexed Case http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14306 Wed 07 Apr 2021 14:02:23 AEST ]]> Calculus for directional limiting normal cones and subdifferentials http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14132 Wed 07 Apr 2021 14:02:13 AEST ]]> A topological group observation on the Banach-Mazur separable quotient problem http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13972 Wed 07 Apr 2021 14:02:04 AEST ]]> On the reconstruction of polytopes http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13772 3 there are two d-polytopes with d- 1 nonsimple vertices, isomorphic (d- 3) -skeleta and nonisomorphic face lattices. In particular, the result (1) is best possible for 4-polytopes. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.]]> Wed 07 Apr 2021 14:01:53 AEST ]]> On SPD method for solving canonical dual problem in post buckling of large deformed elastic beam http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13673 Wed 07 Apr 2021 14:01:47 AEST ]]> Lower semicontinuity of the feasible set mapping of linear systems relative to their domains http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13366 Wed 07 Apr 2021 14:01:31 AEST ]]> Embedding into free topological vector spaces on compact metrizable spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:12999 Wed 07 Apr 2021 14:01:11 AEST ]]> Subspaces of the free topological vector space on the unit interval http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:12998 Wed 07 Apr 2021 14:01:11 AEST ]]> Continuants and some decompositions into squares http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:12709 Wed 07 Apr 2021 14:00:56 AEST ]]> On varieties of Abelian topological groups with coproducts http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11487 Wed 07 Apr 2021 13:56:47 AEST ]]> Free topological vector spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11389 Wed 07 Apr 2021 13:56:42 AEST ]]> Optimality conditions via weak subdifferentials in reflexive Banach spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11260 Wed 07 Apr 2021 13:56:36 AEST ]]> An open mapping theorem http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11124 K onto a locally compact group K is open for every cardinal k. This answers a question posed by Hofmann and the second author.]]> Wed 07 Apr 2021 13:56:27 AEST ]]> Nonseparable closed vector subspaces of separable topological vector spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11132 Wed 07 Apr 2021 13:56:27 AEST ]]> Weaker conditions for subdifferential calculus of convex functions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10800 Wed 07 Apr 2021 13:56:09 AEST ]]> An additive subfamily of enlargements of a maximally monotone operator http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10516 Wed 07 Apr 2021 13:55:50 AEST ]]> Nonmeasurable subgroups of compact groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10444 Wed 07 Apr 2021 13:55:48 AEST ]]> Varieties of abelian topological groups with coproducts http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10246 Wed 07 Apr 2021 13:55:35 AEST ]]> Quadratic form representations via generalized continuants http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10039 Wed 07 Apr 2021 13:55:21 AEST ]]> Criteria for epi/hypo convergence of finite-valued bifunctions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:9282 Wed 07 Apr 2021 13:54:29 AEST ]]> Sigma supporting cone and optimality conditions in non-convex problems http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7533 Wed 07 Apr 2021 13:46:59 AEST ]]> The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II: Calculus http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7106 Wed 07 Apr 2021 13:46:37 AEST ]]> The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I: Definition and examples http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7105 Wed 07 Apr 2021 13:46:37 AEST ]]> Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7018 Wed 07 Apr 2021 13:46:32 AEST ]]> Constructions of large graphs on surfaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6894 Wed 07 Apr 2021 13:46:26 AEST ]]> Classification systems based on combinatorial semigroups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6884 Wed 07 Apr 2021 13:46:25 AEST ]]> On optimal control of a sweeping process coupled with an ordinary differential equation http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6872 Wed 07 Apr 2021 13:46:25 AEST ]]> Calmness of the feasible set mapping for linear inequality systems http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5902 Wed 07 Apr 2021 13:45:28 AEST ]]> A data mining application of the incidence semirings http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5337 Wed 07 Apr 2021 13:44:58 AEST ]]> On antimagic labelings of disjoint union of complete s-partite graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5241 0 and d]]> Wed 07 Apr 2021 13:44:53 AEST ]]> Global asymptotic stability in a class of nonlinear differential delay equations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5035 Wed 07 Apr 2021 13:44:38 AEST ]]> On large bipartite graphs of diameter 3 http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4958 Wed 07 Apr 2021 13:44:33 AEST ]]> Classification systems based on combinatorial semigroups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4945 Wed 07 Apr 2021 13:44:32 AEST ]]> Qualitative stability of a class of non-monotone variational inclusions. Application in electronics http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4947 Wed 07 Apr 2021 13:44:32 AEST ]]> Optimal rees matrix constructions for analysis of data http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4936 Wed 07 Apr 2021 13:44:31 AEST ]]> The weights of closed subgroups of a locally compact group http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4847 Wed 07 Apr 2021 13:44:24 AEST ]]> A Grobner-Shirshov Algorithm for Applications in Internet Security http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4778 Wed 07 Apr 2021 13:44:19 AEST ]]> The structure of almost connected pro-lie groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4080 Wed 07 Apr 2021 13:43:24 AEST ]]> Error bounds : Necessary and sufficient conditions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:3235 Wed 07 Apr 2021 13:34:12 AEST ]]> Colocality and twisted sums of Banach spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:439 Wed 07 Apr 2021 13:31:21 AEST ]]> A dual criterion for maximal monotonicity of composition operators http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:447 Wed 07 Apr 2021 13:31:21 AEST ]]> Cardinalities of locally compact groups and their Stone-Čech compactifications http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:427 Wed 07 Apr 2021 13:31:20 AEST ]]> A problem of modal control in a linear neutral system http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:429 Wed 07 Apr 2021 13:31:20 AEST ]]> Typical behaviour in scalar delay differential equations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:428 Wed 07 Apr 2021 13:31:20 AEST ]]> The exponential function of locally connected compact Abelian groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:415 Wed 07 Apr 2021 13:31:19 AEST ]]> On the pro-lie group theorem and the closed subgroup theorem http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:414 Wed 07 Apr 2021 13:31:19 AEST ]]> Iwasawa's local splitting theorem for pro-Lie groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:413 Wed 07 Apr 2021 13:31:19 AEST ]]> An open mapping theorem for pro-Lie groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:412 Wed 07 Apr 2021 13:31:19 AEST ]]> Boris Mordukhovich, the never tiring traveller, celebrates his sixtieth birthday http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:403 Wed 07 Apr 2021 13:31:18 AEST ]]> Sophus Lie's third fundamental theorem and the adjoint functor theorem http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:409 Wed 07 Apr 2021 13:31:18 AEST ]]> The structure of abelian pro-Lie groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:408 Wed 07 Apr 2021 13:31:18 AEST ]]> Projective limits of finite-dimensional Lie groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:407 Wed 07 Apr 2021 13:31:18 AEST ]]> On non-polynomiality of XOR over Zn2 http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:377 Wed 07 Apr 2021 13:31:16 AEST ]]> Characterization of eccentric digraphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:332 Wed 07 Apr 2021 13:31:13 AEST ]]> Undergraduate mathematics curricula - A new approach http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:333 Wed 07 Apr 2021 13:31:13 AEST ]]> Multipartite Moore digraphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:286 1 and diameter k = 2m are obtained. In the case δ = 1, which corresponds to almost Moore digraphs, a necessary condition in terms of the permutation cycle structure is derived. Additionally, we present some constructions of dense multipartite digraphs of diameter two that are vertex-transitive.]]> Wed 07 Apr 2021 13:31:10 AEST ]]> A sum labelling for the generalised friendship graph http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:279 Wed 07 Apr 2021 13:31:09 AEST ]]> Monotonic analysis over cones : III http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:263 Wed 07 Apr 2021 13:31:08 AEST ]]> Metric regularity and systems of generalized equations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:246 Wed 07 Apr 2021 13:31:07 AEST ]]> Convex along lines functions and abstract convexity. Part i http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:216 Wed 07 Apr 2021 13:31:04 AEST ]]> Maximal monotonicity, conjugation and the duality product http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:156 Wed 07 Apr 2021 13:31:00 AEST ]]> Twisted sums with C(K) spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:162 ]]> Wed 07 Apr 2021 13:31:00 AEST ]]> Necessary and sufficient conditions for stable conjugate duality http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:152 Wed 07 Apr 2021 13:30:59 AEST ]]> Diameter-sufficient conditions for a graph to be super-restricted connected http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:95 Wed 07 Apr 2021 13:30:55 AEST ]]> A lower bound on the order of regular graphs with given girth pair http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:94 Wed 07 Apr 2021 13:30:55 AEST ]]> Complete characterization of almost moore digraphs of degree three http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:101 Wed 07 Apr 2021 13:30:55 AEST ]]> Enumerations of vertex orders of almost Moore digraphs with selfrepeats http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:100 1, diameter k > 1 is a diregular digraph with the number of vertices one less than the Moore bound. If G is an almost Moore digraph, then for each vertex u ∈ V (G) there exists a vertex v ∈ V (G), called repeat of u and denoted by r (u) = v, such that there are two walks of length ≤ k from u to v. The smallest positive integer p such that the composition rp (u) = u is called the order of u. If the order of u is 1 then u is called a selfrepeat. It is known that if G is an almost Moore digraph of diameter k ≥ 3 then G contains exactly k selfrepeats or none. In this paper, we propose an exact formula for the number of all vertex orders in an almost Moore digraph G containing selfrepeats, based on the vertex orders of the out-neighbours of any selfrepeat vertex. © 2007 Elsevier B.V. All rights reserved.]]> Wed 07 Apr 2021 13:30:55 AEST ]]> Consecutive magic graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:93 Wed 07 Apr 2021 13:30:54 AEST ]]> On the degrees of a strongly vertex-magic graph http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:92 Wed 07 Apr 2021 13:30:54 AEST ]]> Edge-antimagic graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:64 Wed 07 Apr 2021 13:30:52 AEST ]]> Antimagic labelings of grids http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:63 Wed 07 Apr 2021 13:30:52 AEST ]]> On irregular total labellings http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:62 Wed 07 Apr 2021 13:30:52 AEST ]]> Continuous subdifferential approximations and their applications http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:66 Wed 07 Apr 2021 13:30:52 AEST ]]> The core of a sequence of fuzzy numbers http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:59 Wed 07 Apr 2021 13:30:51 AEST ]]> Statistical limit inferior and limit superior for sequences of fuzzy numbers http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:58 Wed 07 Apr 2021 13:30:51 AEST ]]> Enlargements of the moreau–rockafellar subdifferential http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15318 Tue 23 Nov 2021 15:03:37 AEDT ]]> Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15723 Tue 22 Feb 2022 13:36:04 AEDT ]]> Orthogonality in locally convex spaces : two nonlinear generalizations of Neumann's lemma http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14313 Tue 21 Dec 2021 14:43:30 AEDT ]]> Connectivity of cubical polytopes http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14273 = 3, the graph of a cubical d-polytope with minimum degree 5 is min{delta, 2d - 2}-connected. Second, we show, for any d >= 4, that every minimum separator of cardinality at most 2d - 3 in such a graph consists of all the neighbours of some vertex and that removing the vertices of the separator from the graph leaves exactly two components, with one of them being the vertex itself. (C) 2019 Elsevier Inc. All rights reserved.]]> Tue 21 Dec 2021 09:27:27 AEDT ]]> An adaptive splitting algorithm for the sum of two generalized monotone operators and one cocoercive operator http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15766 Tue 15 Mar 2022 16:03:04 AEDT ]]> Subdifferentials and stability analysis of feasible set and pareto front mappings in linear multiobjective optimization http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14642 Tue 15 Aug 2023 14:30:11 AEST ]]> On semiregularity of mappings http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13768 Tue 13 Apr 2021 14:56:09 AEST ]]> A new regularity criterion of weak solutions to the 3D micropolar fluid flows in terms of the pressure http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15106 Tue 06 Jul 2021 13:39:37 AEST ]]> Dual sufficient characterizations of transversality properties http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14813 Tue 06 Dec 2022 14:12:38 AEDT ]]> Open mapping theorem for topological groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:411 Tue 03 Jan 2023 15:36:10 AEDT ]]> Transversality properties : primal sufficient conditions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15143 Thu 25 Nov 2021 11:00:30 AEDT ]]> The radius of metric subregularity http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14649 Thu 09 Dec 2021 15:45:22 AEDT ]]> Subdifferential of the supremum via compactification of the index set http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14645 Thu 09 Dec 2021 15:31:13 AEDT ]]> Stability analysis for parameterized variational systems with implicit constraints http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14405 Thu 09 Dec 2021 15:27:52 AEDT ]]> Primal necessary characterizations of transversality properties http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15055 Thu 07 Jul 2022 14:46:35 AEST ]]> Strongly regular points of mappings http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15638 Mon 24 Jan 2022 15:54:45 AEDT ]]> The linkedness of cubical polytopes: the cube http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15492 Mon 13 Dec 2021 11:18:41 AEDT ]]> On the regularity of weak solutions of the boussinesq equations in besov spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:15490 Mon 13 Dec 2021 10:39:53 AEDT ]]> Conical decomposition and vector lattices with respect to several preorders http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:97 Fri 21 Jul 2023 09:55:09 AEST ]]> Valadier-like formulas for the supremum function I http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13363 Fri 11 Nov 2022 11:48:30 AEDT ]]>