Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648559 | Discrete Mathematics | 2010 | 5 Pages |
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
Authors
Douglas R. Woodall,