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math.CO2010★ 1 cited
A Combined Logarithmic Bound on the Chromatic Index of a Multigraph
Michael Plantholt
For a multigraph G, the integer round-up phi(G) of the fractional chromatic index yields a good general lower bound for the chromatic index . For an upper bound, Kahn showed that f…
math.CO2010
A sufficient condition for the existence of an anti-directed 2-factor in a directed graph
Ajit A. Diwan, Josh B. Frye, Michael J. Plantholt +1
Let D be a directed graph with vertex set V and order n. An anti-directed hamiltonian cycle H in D is a hamiltonian cycle in the graph underlying D such that no pair of consecutive…