http://researchonline.federation.edu.au/vital/access/manager/Index ${session.getAttribute("locale")} 5 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 05 Dec 2018 11:09:07 AEDT ]]> All (k;g)-cages are edge-superconnected http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:523 Tue 18 Dec 2018 10:24:58 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.]]> Thu 05 Mar 2020 16:39:36 AEDT ]]> All (k;g)-cages are k-edge-connected http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:524 Mon 17 Dec 2018 15:29:40 AEDT ]]> A survey on the connectivity of cages http://researchonline.federation.edu.au/vital/access/manager/Repository/vital:1481 Mon 16 Jan 2017 14:00:37 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 ]]> 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 ]]>