Extremal properties of the bipartite vertex frustration of graphs
β Scribed by Zahra Yarahmadi; Ali Reza Ashrafi
- Book ID
- 104001186
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 242 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
The smallest number of vertices that have to be deleted from a graph G to obtain a bipartite subgraph is called the bipartite vertex frustration of G and denoted by Ο(G). In this paper, some extremal properties of this graph invariant are presented. Moreover, we present an exact formula for the bipartite vertex frustration of the corona product of graphs.
π SIMILAR VOLUMES
## Abstract A cubic triangleβfree graph has a bipartite subgraph with at least 4/5 of the original edges. Examples show that this is a best possible result.
The smallest number of edges that have to be deleted from a graph G to obtain a bipartite spanning subgraph is called the bipartite edge frustration of G and denoted by Ο(G). In this paper we extend the splice and link for two graphs and determine their bipartite edge frustration. As an application,