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\(P_7\)-factorization of complete bipartite graphs
Australas. J Comb., 2005Summary: We show that necessary and sufficient conditions for existence of a \(P_7\)-factorization of the complete bipartite graph \(K_{m,n}\) are (1) \(4n\geq 3m\), (2) \(4m\geq 3n\), (3) \(m+n\equiv 0 \pmod 7\), and (4) \(7mn/[6(m+n)]\) is an integer.
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Decomposition of complete bipartite graphs into paths and cycles
Discrete Mathematics, 2014Appu Muthusamy
exaly
Regular orientable embeddings of complete bipartite graphs
Journal of Graph Theory, 2005Young Soo Kwon, Jin Ho Kwak
exaly
Locally 2-arc-transitive complete bipartite graphs
Journal of Combinatorial Theory - Series A, 2013Dimitri Leemans +2 more
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The generalized connectivity of the line graph and the total graph for the complete bipartite graph
Applied Mathematics and Computation, 2019Yinkui Li
exaly
Cycle systems in the complete bipartite graph minus a one-factor
Discrete Mathematics, 2004Dan Archdeacon
exaly
Resistance between two vertices of almost complete bipartite graphs
Discrete Applied Mathematics, 2019Weigen Yan
exaly
Decomposition of Complete Bipartite Even Graphs into Closed Trails
Czechoslovak Mathematical Journal, 2003Mirko Horňák, Mariusz Woźniak
exaly
Decomposition of the complete bipartite graph with a 1-factor removed into cycles and stars
Discrete Mathematics, 2013Hung-Chih Lee, Jenq-Jong Lin
exaly
Decomposition of complete bipartite graphs into paths and stars with same number of edges
Discrete Mathematics, 2013exaly

