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On Hamiltonian line graphs

1992
Following ideas of \textit{P. A. Catlin} [J. Graph Theory 12, No. 1, 29-45 (1988; Zbl 0659.05073)] and using a previous result of his own in a submitted paper, the author proves: If \(G\) is a 3-edge connected simple triangle-free graph on \(n\) vertices with minimum degree \(\delta(G)\geq 4\) such that for the degrees the condition \((*)\) \(d(u)+ d(v)
openaire   +1 more source

Internally disjoint trees in the line graph and total graph of the complete bipartite graph

Applied Mathematics and Computation, 2022
Shu-Li Zhao, Rong-Xia Hao
exaly  

Kirchhoff index in line, subdivision and total graphs of a regular graph

Discrete Applied Mathematics, 2012
Xing Gao, Yanfeng Luo
exaly  

The upper bound of the number of cycles in a 2-factor of a line graph

Journal of Graph Theory, 2007
Jun Fujisawa   +2 more
exaly  

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