Vertex-Disjoint Cycles of the Same Length
β Scribed by Yoshimi Egawa
- Book ID
- 102970709
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 1015 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
We show that for each integer k 3, there exists an integer p k such that every graph with minimum degree at least 2k and order at least p k contains k pairwise vertex-disjoint cycles of the same length.
π SIMILAR VOLUMES
## Abstract We obtain a sharp minimum degree condition Ξ΄ (G)ββ₯β$\lfloor {\sqrt {\phantom{n^2}n+k^2-3k+1}}\rfloor + 2k-1$ of a graph __G__ of order __n__ββ₯β3__k__ guaranteeing that, for any __k__ distinct vertices, __G__ contains __k__ vertexβdisjoint cycles of length at most four each of which cont
## Abstract We study the problem of designing a survivable WDM network based on covering the communication requests with subnetworks that are protected independently from each other. We consider here the case when the physical network is __T__(__n__), a torus of size __n__ by __n__, the subnetworks