## 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
Bipartite Graphs and their Degree Sets
β Scribed by Y. Manoussakis; H.P. Patil
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 69 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
W e give constructions of bipartite graphs with maximum A, diameter D on B vertices. such :bat for every D 3 2 :he !im i nf , . . , B . A'"' = b,, > 0. W e also improve similar results on ordinary graphs, for example, w e prove that lim, , , N -A-." = 1 if D is 3 or 5. This is a partial answer to a
It is shown that any connected bipartite graph is determined by its endomorphism monoid up to isomorphism.
## Abstract Let __G__ = __(A, B; E)__ be a bipartite graph. Let __e__~1~, __e__~2~ be nonnegative integers, and __f__~1~, __f__~2~ nonnegative integerβvalued functions on __V(G)__ such that __e__~__i__~ β¦ |__E__| β¦ __e__~1~ + __e__~2~ and __f~i~(v)__ β¦ __d(v)__ β¦ __f__~1~__(v)__ + __f__~2~__(v)__ f
## Abstract Given a bipartite graph __H__ and a positive integer __n__ such that __v__(__H__) divides 2__n__, we define the minimum degree threshold for bipartite __H__βtiling, Ξ΄~2~(__n, H__), as the smallest integer __k__ such that every bipartite graph __G__ with __n__ vertices in each partition