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167
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JGT
2006
15 years 6 months ago
2006
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
156
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SIAMDM
2008
15 years 6 months ago
2008
In [5], Reed conjectures that every graph satisfies ++1 2 . We prove this holds for graphs with disconnected complement. Combining this fact with a result of Molloy proves the co...
151
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ARSCOM
2004
15 years 6 months ago
2004
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
186
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CPC
2004
15 years 6 months ago
2004
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
133
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DM
2000
15 years 6 months ago
2000
A graph is said to be representable modulo n if its vertices can be labelled with distinct integers between 0 and n - 1 inclusive such that two vertices are adjacent if and only i...