## Abstract Generalizing the wellβknown concept of an __i__βperfect cycle system, Pasotti [Pasotti, in press, Australas J Combin] defined a Ξβdecomposition (Ξβfactorization) of a complete graph __K__~__v__~ to be __iβperfect__ if for every edge [__x__, __y__] of __K__~__v__~ there is exactly one bl
Perfect graph decompositions
β Scribed by Zsolt Tuza
- Publisher
- Springer Japan
- Year
- 1991
- Tongue
- English
- Weight
- 291 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
A graph G is strongly perfect if every induced subgraph H of G contains a stable set that meets all the maximal cliques of H . We present a graph decomposition that preserves strong perfection: more precisely, a stitch decomposition of a graph G = (V, β¬1 is a partition of V into nonempty disjoint su
We prove the following conjecture of A. Frank (Fifth British Combinatorial Conference, Aberdeen, Scotland, 1975): Let \(G\) be a connected simple graph of order \(n\), and \(n=n_{1}+\cdots+n_{k}\) be a partition of \(n\) with \(n_{i} \geqslant 2\). Suppose that the minimum degree of \(G\) is at leas