Two characterizations of chain partitioned probe graphs
β Scribed by Van Bang Le
- Book ID
- 106344965
- Publisher
- Springer US
- Year
- 2010
- Tongue
- English
- Weight
- 282 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0254-5330
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π SIMILAR VOLUMES
A graph G is m-partite if its points can be partitioned into m subsets Yl, . . . . Vm such that every line joins a point in Vi with a point in Vi, i + j. A complete m-partite graph contains every line joining Vi with V-. A complete graph Kp has every pair of its p points adjacent. The nth interchang
## Abstract A graph has the neighborβclosedβcoβneighbor, or ncc property, if for each of its vertices __x__, the subgraph induced by the neighbor set of __x__ is isomorphic to the subgraph induced by the closed nonβneighbor set of __x__. As proved by Bonato and Nowakowski [5], graphs with the ncc p
We prove the following theorem. "I'neorem. If G is a balanced bipartite graph with bipartition (A, B), [A I = IBI = n, such that for any x ~ A, y ~ B, d(x) + d(y) >>-n + 2, then for any (nl, n2), ni >I 2, n -----n I + hE, G contains two independent cycles of lengths 2nl and 2n2.