%0 Journal Article
%T Cycle Multiplicity of Total Graph of Complete Bipartite Graph
%A Ganghua Xie
%A Yinkui Li
%J Open Journal of Discrete Mathematics
%P 95-99
%@ 2161-7643
%D 2023
%I Scientific Research Publishing
%R 10.4236/ojdm.2023.134009
%X Cycle multiplicity of a graph <i>G</i> is the maximum number of edge disjoint cycles in<i> G</i>. In this paper, we determine the
cycle multiplicity of <img src=\"Edit_3ad1d465-f32b-4569-af7f-95078213bde5.png\" alt=\"\" /><span style=\"font-family:;\" \"=\"\"><span> </span>and then obtain the formula of cycle
multiplicity of total graph of complete bipartite graph<img src=\"Edit_5bae3fac-4d5b-4ac8-86ef-742bd92ecc6e.png\" alt=\"\" /></span><span style=\"font-family:;\" \"=\"\">, this generalizes the
result for<img src=\"Edit_3fc5ec81-9613-40b4-96e5-12637a3878d4.png\" alt=\"\" /></span><span style=\"font-family:;\" \"=\"\">, which is given by M.M.
Akbar Ali in </span><span style=\"font-family:\" color:#943634;\"=\"\"><a href=\"#ref1\">[1]</a></span><span></span><span><span></span></span><span style=\"font-family:;\" \"=\"\">.</span>
%K Cycle Multiplicity
%K Complete Bipartite Graph
%K Total Graph
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=128088