## Abstract A maximal independent set of a graph __G__ is an independent set that is not contained properly in any other independent set of __G.__ In this paper, we determine the maximum number of maximal independent sets among all bipartite graphs of order __n__ and the extremal graphs as well as
Maximal Energy Bipartite Graphs
β Scribed by Jack H. Koolen; Vincent Moulton
- Publisher
- Springer Japan
- Year
- 2003
- Tongue
- English
- Weight
- 83 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
Given a graph G, its energy E G is defined as the sum of the absolute values of the eigenvalues of G. The concept of the energy of a graph was introduced in the subject of chemistry by I. Gutman, due to its relevance to the total Ο-electron energy of certain molecules. In this paper, we show that if
## Abstract It is proven that each maximal planar bipartite graph is decomposable into two trees. Β© 1993 John Wiley & Sons, Inc.
The aim of this paper is to determine the maximal number of induced K(t, t) subgraphs in graphs of given order and in graphs of given size. Given a graph G and a natural number t, denote by ft(G) the number of induced subgraphs of G isomorphic to K(t, t). Our notation is that of ; in particular, K(