http://researchonline.federation.edu.au/vital/access/manager/Index ${session.getAttribute("locale")} 5 Optimal rees matrix constructions for analysis of data http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4936 Wed 24 Jul 2019 17:02:54 AEST ]]> The weights of closed subgroups of a locally compact group http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4847 Wed 24 Jul 2019 16:54:44 AEST ]]> From convergence principles to stability and optimality conditions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4851 Wed 24 Jan 2018 11:17:53 AEDT ]]> Monotonic analysis over cones : III http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:263 Wed 20 Feb 2019 11:50:36 AEDT ]]> On stability of M-stationary points in MPCCs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7660 Wed 17 Jul 2019 14:05:08 AEST ]]> Sufficient conditions for global optimality of semidefinite optimization http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10731 Wed 13 Nov 2019 12:29:28 AEDT ]]> 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 12 Dec 2018 13:42:36 AEDT ]]> Valadier-like formulas for the supremum function I http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13363 Wed 12 Dec 2018 13:10:08 AEDT ]]> The core of a sequence of fuzzy numbers http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:59 Wed 09 Jan 2019 11:24:55 AEDT ]]> A sum labelling for the generalised friendship graph http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:279 Wed 09 Jan 2019 11:10:58 AEDT ]]> Global asymptotic stability in a class of nonlinear differential delay equations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5035 Wed 08 Nov 2017 07:27:41 AEDT ]]> Density character of subgroups of topological groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11955 Wed 08 Nov 2017 07:25:08 AEDT ]]> 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 08 Nov 2017 07:20:09 AEDT ]]> Optimality conditions via weak subdifferentials in reflexive Banach spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11260 Wed 08 Nov 2017 06:52:42 AEDT ]]> Error bounds for vector-valued funtions on metric spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11268 Wed 08 Nov 2017 06:40:27 AEDT ]]> About intrinsic transversality of pairs of sets http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13102 Wed 05 Dec 2018 16:44:08 AEDT ]]> Decomposability of polytopes http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:722 Wed 05 Dec 2018 11:34:29 AEDT ]]> Moore bound for mixed networks http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:655 Wed 05 Dec 2018 11:05:14 AEDT ]]> A dual criterion for maximal monotonicity of composition operators http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:447 Wed 05 Dec 2018 10:31:33 AEDT ]]> Aggregate subgradient smoothing mehtods for large scale nonsmooth nonconvex optimisation and applications http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:9300 Wed 03 Jan 2018 11:20:12 AEDT ]]> Topology of interconnection networks with given degree and diameter http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:2914 Wed 01 May 2019 16:41:38 AEST ]]> On modeling and complete solutions to general fixpoint problems in multi-scale systems with applications http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13543 Tue 26 Mar 2019 12:47:56 AEDT ]]> Comparative analysis of numerical solution of optimal control problems http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:12731 Tue 20 Mar 2018 15:13:00 AEDT ]]> 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.]]> Tue 18 Jun 2019 11:53:06 AEST ]]> On semiregularity of mappings http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13768 Tue 18 Jun 2019 11:14:17 AEST ]]> A new recipe for the spin characters of the symmetric group http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:718 Tue 18 Dec 2018 09:46:28 AEDT ]]> Lower bound theorems for general polytopes http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13991 = 0.62d. This confirms a conjecture of Grunbaum, for these values of m. For v = 2d + 1, we solve the same problem when m = 1 or d - 2; the solution was already known for m = d - 1. In all these cases, we give a characterisation of the minimising polytopes. We also show that there are many gaps in the possible number of m-faces: for example, there is no polytope with 80 edges in dimension 10, and a polytope with 407 edges can have dimension at most 23.]]> Tue 17 Sep 2019 11:17:56 AEST ]]> A data mining application of the incidence semirings http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5337 Tue 16 Oct 2018 12:02:12 AEDT ]]> The excess degree of a polytope http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13474 Tue 12 Feb 2019 11:44:51 AEDT ]]> 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.]]> Tue 08 Jan 2019 16:33:17 AEDT ]]> HSAGA and its application for the construction of near-Moore digraphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:871 Tue 08 Jan 2019 14:11:38 AEDT ]]> 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 Tue 06 Aug 2019 15:36:56 AEST ]]> Criteria for epi/hypo convergence of finite-valued bifunctions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:9282 Tue 05 Nov 2019 11:39:29 AEDT ]]> Nonseparable closed vector subspaces of separable topological vector spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11132 Tue 05 Nov 2019 11:37:30 AEDT ]]> Regularity of collections of sets and convergence of inexact alternating projections http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11143 Tue 02 Oct 2018 14:17:08 AEST ]]> Slopes of multifunctions and extensions of metric regularity http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7197 Tue 02 Oct 2018 13:14:12 AEST ]]> New constructions of A-magic graphs using labeling matrices http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5214 Tue 02 May 2017 15:28:36 AEST ]]> Internet security applications of Grobner-Shirvov bases http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4340 Thu 28 Mar 2019 11:37:33 AEDT ]]> On large bipartite graphs of diameter 3 http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4958 Thu 25 Jul 2019 10:24:32 AEST ]]> Classification systems based on combinatorial semigroups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4945 Thu 25 Jul 2019 09:32:11 AEST ]]> Continuants and some decompositions into squares http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:12709 Thu 22 Mar 2018 10:07:40 AEDT ]]> On Cournot-Nash-Walras equilibria and their computation http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10830 Thu 21 Nov 2019 14:38:48 AEDT ]]> Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7018 Thu 21 Mar 2019 14:26:14 AEDT ]]> Some examples of relations between non-stable integral cohomology operations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7099 Thu 21 Mar 2019 11:16:46 AEDT ]]> Fractal bodies invisible in 2 and 3 directions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4869 Thu 20 Dec 2018 16:28:05 AEDT ]]> Iwasawa's local splitting theorem for pro-Lie groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:413 Thu 20 Dec 2018 11:18:45 AEDT ]]> On graphs of maximum degree 3 and defect 4 http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5222 Thu 17 Aug 2017 10:25:02 AEST ]]> On antimode graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5229 Thu 16 Feb 2017 12:59:51 AEDT ]]> Nonmeasurable subgroups of compact groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10444 Thu 16 Aug 2018 16:59:35 AEST ]]> Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13382 Thu 07 Nov 2019 11:29:23 AEDT ]]> Weaker conditions for subdifferential calculus of convex functions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10800 Thu 07 Nov 2019 11:27:13 AEDT ]]> Borwein-Preiss variational principle revisited http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10517 Thu 05 Dec 2019 15:40:50 AEDT ]]> About [q]-regularity properties of collections of sets http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:9614 Thu 05 Dec 2019 15:30:51 AEDT ]]> Borwein–Preiss vector variational principle http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13009 Thu 04 Oct 2018 12:13:22 AEST ]]> Quadratic form representations via generalized continuants http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10039 Mon 23 Jan 2017 15:14:00 AEDT ]]> About subtransversality of collections of sets http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13236 Mon 20 Aug 2018 14:29:16 AEST ]]> On the maximum order of graphs embedded in surfaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:12624 Mon 19 Aug 2019 16:37:58 AEST ]]> Classification systems based on combinatorial semigroups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6884 Mon 18 Mar 2019 14:48:08 AEDT ]]> Constructions of large graphs on surfaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6894 Mon 18 Mar 2019 14:41:36 AEDT ]]> The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I: Definition and examples http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7105 Mon 18 Mar 2019 10:05:17 AEDT ]]> Boris Mordukhovich, the never tiring traveller, celebrates his sixtieth birthday http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:403 Mon 17 Dec 2018 16:37:28 AEDT ]]> Alternative route : from van Schooten to Ptolemy http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6330 Mon 16 Jan 2017 23:04:47 AEDT ]]> Antimagic labelings of grids http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:63 Mon 16 Jan 2017 21:58:16 AEDT ]]> Super antimagic total labeling of graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:848 Mon 16 Jan 2017 21:31:30 AEDT ]]> On the nonexistence of graphs of diameter 2 and defect 2 http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:3670 Mon 16 Jan 2017 21:07:40 AEDT ]]> Sigma supporting cone and optimality conditions in non-convex problems http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7533 Mon 16 Jan 2017 20:06:49 AEDT ]]> A Grobner-Shirshov Algorithm for Applications in Internet Security http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4778 Mon 16 Jan 2017 19:10:53 AEDT ]]> Qualitative stability of a class of non-monotone variational inclusions. Application in electronics http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4947 Mon 16 Jan 2017 18:25:04 AEDT ]]> An algorithm for the optimization of multiple classifers in data mining based on graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:3666 Mon 16 Jan 2017 18:14:01 AEDT ]]> About subdifferential calculus for abstract convex functions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:787 Mon 16 Jan 2017 17:15:04 AEDT ]]> An open mapping theorem for pro-Lie groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:412 Mon 16 Jan 2017 16:55:00 AEDT ]]> The structure of almost connected pro-lie groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4080 Mon 16 Jan 2017 15:36:41 AEDT ]]> Diameter-sufficient conditions for a graph to be super-restricted connected http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:95 Mon 16 Jan 2017 15:13:52 AEDT ]]> Going halfway with circular boundaries http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6328 Mon 16 Jan 2017 14:55:55 AEDT ]]> A generalization of the Remez algorithm to a class of linear spline approximation problems with constraints on spline parameters http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:850 Mon 16 Jan 2017 12:54:38 AEDT ]]> On the pro-lie group theorem and the closed subgroup theorem http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:414 Mon 16 Jan 2017 12:16:33 AEDT ]]> A lower bound on the order of regular graphs with given girth pair http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:94 Mon 16 Jan 2017 11:21:22 AEDT ]]> Convex along lines functions and abstract convexity. Part i http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:216 Mon 16 Jan 2017 10:54:08 AEDT ]]> Error bounds and Hölder metric subregularity http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11267 Mon 10 Dec 2018 16:11:17 AEDT ]]> Graphs of order two less than the Moore bound http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:603 1 and k>1. Similarly, the Moore bound for an undirected graph of maximum degree d and diameter k is . Undirected Moore graphs only exist in a small number of cases. Mixed (or partially directed) Moore graphs generalize both undirected and directed Moore graphs. In this paper, we shall show that all known mixed Moore graphs of diameter k=2 are unique and that mixed Moore graphs of diameter k3 do not exist.]]> Mon 10 Dec 2018 09:18:37 AEDT ]]> On the connectivity of (k, g)-cages of even girth http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:521 Mon 10 Dec 2018 09:16:33 AEDT ]]> Embedding of the free abelian topological group A (X ⊕ X) into A (X) http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13981 Mon 09 Sep 2019 14:12:18 AEST ]]> A topological group observation on the Banach-Mazur separable quotient problem http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13972 Mon 09 Sep 2019 12:04:56 AEST ]]> Embedding into free topological vector spaces on compact metrizable spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:12999 Mon 07 May 2018 14:03:06 AEST ]]> Subspaces of the free topological vector space on the unit interval http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:12998 Mon 07 May 2018 14:01:00 AEST ]]> Varieties of abelian topological groups with coproducts http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10246 Mon 04 Nov 2019 16:19:46 AEDT ]]> Internet security applications of the Munn rings http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:3453 Mon 01 Apr 2019 12:05:26 AEDT ]]> 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]]> Fri 25 May 2018 16:58:32 AEST ]]> Structural properties of graphs of diameter 2 with maximal repeats http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:654 Fri 18 Oct 2019 16:55:57 AEDT ]]> On varieties of Abelian topological groups with coproducts http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11487 Fri 17 Aug 2018 12:05:22 AEST ]]> Free topological vector spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11389 Fri 17 Aug 2018 12:04:47 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 Fri 16 Nov 2018 10:04:43 AEDT ]]> The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II: Calculus http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7106 Fri 15 Mar 2019 15:36:32 AEDT ]]> Metric regularity and systems of generalized equations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:246 Fri 11 Jan 2019 10:56:42 AEDT ]]> An additive subfamily of enlargements of a maximally monotone operator http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10516 Fri 08 Nov 2019 13:54:31 AEDT ]]> Graphical derivatives and stability analysis for parameterized equilibria with conic constraints http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10527 Fri 08 Nov 2019 13:53:19 AEDT ]]> Calmness of the feasible set mapping for linear inequality systems http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5902 Fri 08 Nov 2019 13:52:26 AEDT ]]> On relaxing the Mangasarian-Fromovitz constraint qualification http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11269 Fri 08 Nov 2019 13:51:39 AEDT ]]> Calculus for directional limiting normal cones and subdifferentials http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14132 Fri 06 Dec 2019 11:34:18 AEDT ]]> Error bounds : Necessary and sufficient conditions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:3235 Fri 05 Apr 2019 11:11:36 AEDT ]]>