## Abstract Let __G__ be a connected __k__–regular bipartite graph with bipartition __V__(__G__) = __X__ ∪ __Y__ and adjacency matrix __A__. We say __G__ is det‐extremal if __per__ (__A__) = |__det__(A)|. Det–extremal __k__–regular bipartite graphs exist only for __k__ = 2 or 3. McCuaig has charac
Extremal bipartite subgraphs of cubic triangle-free graphs
✍ Scribed by Glenn Hopkins; William Staton
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 275 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A cubic triangle‐free graph has a bipartite subgraph with at least 4/5 of the original edges. Examples show that this is a best possible result.
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