An Improved Upper Bound on the Maximum Degree of Terminal-Pairable Complete Graphs
نویسندگان
چکیده
A graph G is terminal-pairable with respect to a demand multigraph D on the same vertex set as G, if there exists edge-disjoint paths joining the end vertices of every demand edge of D. In this short note, we improve the upper bound on largest ∆(n) with the property that the complete graph on n vertices is terminal-pairable with respect to any demand multigraph of maximum degree at most ∆(n) . This disproves a conjecture originally stated by Csaba, Faudree, Gyárfás, Lehel and Schelp.
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