摘要
对Ⅱ-类具有两个边轨道图的点连通性进行研究,给出在围长条件下,k-正则Ⅱ-类2-边轨道图点连通度等于最小度的充分条件,并且证明如果k≤6且围长g(G)≥6,则连通度等于最小度.
The study gave the sufficient condition for the vertext connectivity ofⅡ-kind 2-edge-orbit graph being equal to its minimum degree with positive K and the given girth and proved that if k≤6 and the girth g(G)≥6,the connectivity was equal to its minimum degree.
引文
[1]J.X.Meng,Connectivity of vertex and edge transitive graphs[J].Discrete Apple.Math.,2003(127).601-613.
[2]C.Godsil and G.Royle.Algebraic graph theory[M].New York,Springer-Verlag,2011.
[3]R.Tindell.Connectivity of cayley graphs[M].in:D.Z.Du,D.F.Hsu(Eds.).Com-binatorial Network Theory,Kletwey,Dordrech,1996:41-64.
[4]X.H.Hou.The Vertex Connectivity of Graphs with Two Edge Orbits[J].Shanxi Normal University,2012(3):17-19.
[5]L.Lovasz.Combinatorial Problems and Exercise[M].Amsterdam,North-Holland.1979.
[6]W.Mader.Uber den zusammen symmetricher Graphen[J].Arch.Math.,1970(21):331-336.