https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 On the p-restricted edge connectivity of the bipartite Kneser graph H(n, k) https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:53324 Wed 22 Nov 2023 10:05:34 AEDT ]]> Antimagic labeling of the union of two stars https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:4488 Wed 11 Apr 2018 12:54:05 AEST ]]> Using graphs to capture spatio-visual relations: expanding the properties considered in discursive grammar https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:28772 Wed 11 Apr 2018 10:44:10 AEST ]]> Cubic factor-invariant graphs of cycle quotient type—The alternating case https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:55299 Tue 14 May 2024 17:52:12 AEST ]]> On the vertex irregular total labeling for subdivision of trees https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:43331 Thu 15 Sep 2022 14:57:41 AEST ]]> Reliability of interconnection networks https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:35348 Thu 01 Aug 2019 15:36:55 AEST ]]> Small vertex-transitive and Cayley graphs of girth six and given degree: an algebraic approach https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:17514 Sat 24 Mar 2018 08:03:50 AEDT ]]> Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:17239 Sat 24 Mar 2018 07:59:14 AEDT ]]> Trends in temporal reasoning: constraints, graphs and posets https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:30337 Sat 24 Mar 2018 07:31:47 AEDT ]]> The 2-good-neighbor diagnosability of Cayley graphs generated by transposition trees under the PMC model and MM* model https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:24872 n generated by the transposition tree Γn has many good properties. In this paper, we give that the 2-good-neighbor diagnosability of CΓn under the PMC model and MM⁎ model is g(n−2)−1, where n≥4and g is the girth of CΓn.]]> Sat 24 Mar 2018 07:11:20 AEDT ]]> The 1-good-neighbour diagnosability of Cayley graphs generated by transposition trees under the PMC model and MM* model https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32988 et al. proposed a new measure for fault tolerance of the system, which is called g-good-neighbour diagnosability that restrains every fault-free node containing at least g fault-free neighbours. As a favourable topology structure of interconnection networks, the Cayley graph CΓn generated by the transposition tree Γn has many good properties. In this paper, we give that the 1-good-neighbour diagnosability of CΓn under the PMC model and MM∗ model is 2n−3 except the bubble-sort graph B₄ under MM∗ model, where n≥4, and the 1-good-neighbour diagnosability of B₄ under the MM∗ model is 4.]]> Fri 17 Aug 2018 15:44:20 AEST ]]> g-good-neighbor conditional diagnosability of star graph networks under PMC model and MM* model https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32184 n has many good properties. In this paper, we establish the g-good-neighbor conditional diagnosability of Sn under the PMC model and MM* model.]]> Fri 11 May 2018 13:24:22 AEST ]]>