http://researchonline.federation.edu.au/vital/access/manager/Index ${session.getAttribute("locale")} 5 Hilbert 13: Are there are any genuine continuous multivariate real-valued functions? http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14960 Wed 17 Mar 2021 13:00:24 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 ]]> Embeddings of free topological vector spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14436 Wed 07 Apr 2021 14:02:31 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 ]]> A remark on the separable quotient problem for topological groups http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:14344 Wed 07 Apr 2021 14:02:26 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 ]]> Embedding of the free abelian topological group A (X ⊕ X) into A (X) http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:13981 Wed 07 Apr 2021 14:02:04 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 Wed 07 Apr 2021 14:01:32 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 ]]> 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 ]]> Regularity of collections of sets and convergence of inexact alternating projections http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:11143 Wed 07 Apr 2021 13:56:28 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 ]]> On Cournot-Nash-Walras equilibria and their computation http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:10830 Wed 07 Apr 2021 13:56:11 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 ]]> 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 ]]> Aggregate subgradient smoothing mehtods for large scale nonsmooth nonconvex optimisation and applications http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:9300 Wed 07 Apr 2021 13:54:30 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 ]]> On stability of M-stationary points in MPCCs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7660 Wed 07 Apr 2021 13:47:08 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 I: Definition and examples http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7105 Wed 07 Apr 2021 13:46:37 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 ]]> Some examples of relations between non-stable integral cohomology operations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:7099 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 ]]> 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 ]]> 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 ]]> Going halfway with circular boundaries http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6328 Wed 07 Apr 2021 13:45:55 AEST ]]> Integral cohomology algebras : The algebras of cohomology groups with integer coefficients and primary operations http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6327 Wed 07 Apr 2021 13:45:55 AEST ]]> Alternative route : from van Schooten to Ptolemy http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:6330 Wed 07 Apr 2021 13:45:55 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 antimode graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5229 Wed 07 Apr 2021 13:44:52 AEST ]]> New constructions of A-magic graphs using labeling matrices http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5214 Wed 07 Apr 2021 13:44:51 AEST ]]> On graphs of maximum degree 3 and defect 4 http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:5222 Wed 07 Apr 2021 13:44:51 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 ]]> 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 ]]> Global stability, periodic solutions and optimal control in a nonlinear differential delay model http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4346 Wed 07 Apr 2021 13:43:48 AEST ]]> Internet security applications of Grobner-Shirvov bases http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:4340 Wed 07 Apr 2021 13:43:47 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 ]]> 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 Wed 07 Apr 2021 13:34:40 AEST ]]> On the nonexistence of graphs of diameter 2 and defect 2 http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:3670 Wed 07 Apr 2021 13:34:40 AEST ]]> Divisibility conditions in almost Moore digraphs with selfrepeats http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:882 Wed 07 Apr 2021 13:31:52 AEST ]]> HSAGA and its application for the construction of near-Moore digraphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:871 Wed 07 Apr 2021 13:31:51 AEST ]]> Calculating the extremal number ex (v ; {C3, C4, ..., Cn}) http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:870 Wed 07 Apr 2021 13:31:51 AEST ]]> 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 Wed 07 Apr 2021 13:31:50 AEST ]]> Super antimagic total labeling of graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:848 Wed 07 Apr 2021 13:31:50 AEST ]]> On several classes of monographs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:849 Wed 07 Apr 2021 13:31:50 AEST ]]> Face antimagic labelings of prisms http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:846 Wed 07 Apr 2021 13:31:50 AEST ]]> Super edge-antimagic total labeling http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:847 Wed 07 Apr 2021 13:31:50 AEST ]]> About subdifferential calculus for abstract convex functions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:787 Wed 07 Apr 2021 13:31:45 AEST ]]> Hidden abstract convex functions http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:767 Wed 07 Apr 2021 13:31:44 AEST ]]> Sigma-porosity in monotonic analysis with applications to optimization http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:748 Wed 07 Apr 2021 13:31:43 AEST ]]> Hermite-Hadamard-type inequalities for increasing convex-along-rays function http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:752 Wed 07 Apr 2021 13:31:43 AEST ]]> A new recipe for the spin characters of the symmetric group http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:718 Wed 07 Apr 2021 13:31:41 AEST ]]> Statistical cluster points of sequences in finite dimensional spaces http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:703 Wed 07 Apr 2021 13:31:40 AEST ]]> On mixed Moore graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:656 Wed 07 Apr 2021 13:31:37 AEST ]]> Moore bound for mixed networks http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:655 Wed 07 Apr 2021 13:31:36 AEST ]]> Structural properties of graphs of diameter 2 with maximal repeats http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:654 Wed 07 Apr 2021 13:31:36 AEST ]]> 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.]]> Wed 07 Apr 2021 13:31:33 AEST ]]> (a,d)-edge-antimagic total labelings of caterpillars http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:608 Wed 07 Apr 2021 13:31:33 AEST ]]> Exclusive sum labeling of graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:602 Wed 07 Apr 2021 13:31:33 AEST ]]> Exclusive sum labelings of trees http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:609 Wed 07 Apr 2021 13:31:33 AEST ]]> Relationship between adjacency matrices and super (a,d)-edge-antimagic total labeling of graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:606 Wed 07 Apr 2021 13:31:33 AEST ]]> Super (a,d)-vertex-antimagic total labelings http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:607 Wed 07 Apr 2021 13:31:33 AEST ]]> On optimum summable graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:601 Wed 07 Apr 2021 13:31:32 AEST ]]> Structure of repeat cycles in almost Moore digraphs with selfrepeats and diameter 3 http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:598 Wed 07 Apr 2021 13:31:32 AEST ]]> Conjectures and open problems on face antimagic evaluations of graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:595 Wed 07 Apr 2021 13:31:32 AEST ]]> Languages recognized by two-sided automata of graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:600 Wed 07 Apr 2021 13:31:32 AEST ]]> On the connectivity of (k, g)-cages of even girth http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:521 Wed 07 Apr 2021 13:31:27 AEST ]]> All (k;g)-cages are k-edge-connected http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:524 Wed 07 Apr 2021 13:31:27 AEST ]]> Improved lower bound for the vertex connectivity of (delta;g)-cages http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:522 = root(delta + 1) for g >= 7 odd. This result supports the conjecture of Fu, Huang and Rodger that all (delta; g)-cages are delta-connected. (c) 2005 Elsevier B.V. All rights reserved.]]> Wed 07 Apr 2021 13:31:27 AEST ]]> On d-antimagic labelings of prisms http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:525 Wed 07 Apr 2021 13:31:27 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 ]]> 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 ]]> 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 ]]> 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 ]]> 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 ]]> 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 ]]> 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 ]]> 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 ]]> 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 ]]> 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 ]]> 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 ]]> 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 ]]> Antimagic labelings of grids http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:63 Wed 07 Apr 2021 13:30:52 AEST ]]> Edge-antimagic graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:64 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 ]]> Parallel algorithms for generalized clique transversal problems http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:599 Tue 03 Jan 2023 16:42:58 AEDT ]]> Moore graphs and beyond : A survey of the degree/diameter problem http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:604 Mon 10 May 2021 16:35:33 AEST ]]> Survey of edge antimagic labelings of graphs http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:596 Fri 21 Jul 2023 12:45:31 AEST ]]>