منابع مشابه
Reducible properties of graphs
Let IL be the set of all hereditary and additive properties of graphs. For P1,P2 ∈ IL, the reducible property R = P1 ◦ P2 is defined as follows: G ∈ R if and only if there is a partition V (G) = V1 ∪ V2 of the vertex set of G such that 〈V1〉G ∈ P1 and 〈V2〉G ∈ P2. The aim of this paper is to investigate the structure of the reducible properties of graphs with emphasis on the uniqueness of the dec...
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For a given graph G and a sequence P1,P2, . . . ,Pn of additive hereditary classes of graphs we define an acyclic (P1,P2, . . . ,Pn)colouring of G as a partition (V1, V2, . . . , Vn) of the set V (G) of vertices which satisfies the following two conditions: 1. G[Vi] ∈ Pi for i = 1, . . . , n, 2. for every pair i, j of distinct colours the subgraph induced in G by the set of edges uv such that u...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1997
ISSN: 0196-8858
DOI: 10.1006/aama.1996.0519