Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4651829 | Electronic Notes in Discrete Mathematics | 2014 | 8 Pages |
Abstract
The Ascending Subgraph Decomposition (ASD) Conjecture asserts that every graph G with edges admits an edge decomposition G=H1⊕⋯⊕Hn such that Hi has i edges and is isomorphic to a subgraph of Hi+1, i=1,…,n−1. We show that every bipartite graph G with edges such that the degree sequence d1,…,dk of one of the stable sets satisfies di≥n−i+2, 1≤i
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Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics