For every integer p > 0, let f(p) be the minimum possible value of the maximum weight of a cut in an integer weighted graph with total weight p. It is shown that for every large n and every m < n, f((~)+m)= LΒΌn2j +min (IΒ½nT,f(m)). This supplies the precise value of f(p) for many values of p includin
Covering weighted graphs by even subgraphs
β Scribed by Genghua Fan
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 225 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
## Abstract By Petersen's theorem, a bridgeless cubic graph has a 2βfactor. H. Fleischner extended this result to bridgeless graphs of minimum degree at least three by showing that every such graph has a spanning even subgraph. Our main result is that, under the stronger hypothesis of 3βedgeβconnec
If G is a graph that minimally does not embed in a nonorientable surface, then each edge of G is in a subdivision of either K3.3 or K5. However, there is an example of a graph that minimally does not embed in the torus and some edge is in no subdivision of either K3.3 or K5.
Let (G, w ) denote a simple graph G with a weight function w : β¬(G) -{0,1,2}. A path cover of (G, w ) is a collection of paths in G such that every edge e is contained in exactly w(e) paths of the collection. For a vertex u , w ( v ) is the sum of the weights of the edges incident with U ; U is call
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