Let v β₯ k β₯ 1 and k β₯ 0 be integers. Recall that a (v, k, k) block design is a collection B of k-subsets of a v-set X in which every unordered pair of elements in X is contained in exactly k of the subsets in B. Now let G be a graph with no multiple edges. A (v, G, k) graph design is a collection H
Graph decompositions for demographic loop analysis
β Scribed by Michael J. Adams
- Book ID
- 105998598
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 190 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0303-6812
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## Abstract Let __G__ be an undirected graph without multiple edges and with a loop at every vertexβthe set of edges of __G__ corresponds to a reflexive and symmetric binary relation on its set of vertices. Then __every edgeβpreserving map of the set of vertices of G to itself fixes an edge__ [{__f
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