Article ID Journal Published Year Pages File Type
4648559 Discrete Mathematics 2010 5 Pages PDF
Abstract

Let GG be a multigraph with maximum degree at most Δ⩾3Δ⩾3 such that ch′(G)>Δ or ch″(G)>Δ+1 and GG is minimal with this property. A new proof is given for the result (which was already known, apart from a simple calculation) that the average degree of GG is greater than 2Δ except possibly in the second case when Δ=5Δ=5.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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