https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 On the number of components of (k, g)-cages after vertex deletion https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:7829 Wed 11 Apr 2018 11:18:43 AEST ]]> Calculating the extremal number ex (v ; {C₃, C₄, ..., Cn}) https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:9241 Sat 24 Mar 2018 11:12:48 AEDT ]]> A lower bound on the order of regular graphs with given girth pair https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:9940 Sat 24 Mar 2018 08:14:21 AEDT ]]> New results on EX graphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11283 t and girth at least g ≥ t + 1. The set of all the graphs of order n, containing no cycles of length ≤ t, and of size ex(n; t), is denoted by EX(n; t) = EX(n; {C₃,C₄, . . . ,Cᵼ }), these graphs are called EX graphs. In 1975, Erdős proposed the problem of determining the extremal numbers ex(n; 4) of a graph of order n and girth at least 5. In this paper, we consider a generalized version of this problem, for t ≥ 5. In particular, we prove that ex(29; 6) = 45, also we improve some lower bounds and upper bounds of exᴜ(n; t), for some particular values of n and t.]]> Sat 24 Mar 2018 08:12:43 AEDT ]]> Construction of extremal graphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:5919 Sat 24 Mar 2018 07:46:46 AEDT ]]> All (k;g)-cages are k-edge-connected https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:299 Sat 24 Mar 2018 07:42:24 AEDT ]]>