In 1975, A. Kotzig posed the following problem: Let G be a t-regular graph which has a proper edge t-coloring, t 4. Is it possible to obtain, from one proper edge t-coloring of G, any other proper edge t-coloring of G using only transformations of 2-colored and 3-colored subgraphs such that the inte
Methods of local optimization for the problem of permutating bipartite graphs
β Scribed by N.M. Metel'skii
- Publisher
- Elsevier Science
- Year
- 1984
- Weight
- 214 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0041-5553
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In this paper, we consider a bipartite distance-regular graph = (X, E) with diameter d β₯ 3. We investigate the local structure of , focusing on those vertices with distance at most 2 from a given vertex x. To do this, we consider a subalgebra R = R(x) of Mat X (C), where X denotes the set of vertice
## Abstract We show that the following problem is __NP__ complete: Let __G__ be a cubic bipartite graph and __f__ be a precoloring of a subset of edges of __G__ using at most three colors. Can __f__ be extended to a proper edge 3βcoloring of the entire graph __G__? This result provides a natural co