Abstract
Cycle multiplicity of a graph G is the maximum number of edge disjoint cycles in G. Simoes Pereira gave the formula of cycle multiplicity for line and total graph of forests. Recently, Akbar Ali determined cycle multiplicity of total graph for Cn and K1, n. In this paper, we determine the cycle multiplicity of some Cartesian product graphs, the total graphs of complete graph, complete bipartite graph and unicycle graph, which generalize the results of Akbar Ali and Panayappan (2010) in [1].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.