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CPC
2004
136views more  CPC 2004»
14 years 9 months ago
On the Strong Chromatic Number
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...
Penny E. Haxell
CORR
2007
Springer
84views Education» more  CORR 2007»
14 years 9 months ago
Undirected Graphs of Entanglement Two
Entanglement is a complexity measure of directed graphs that origins in fixed point theory. This measure has shown its use in designing efficient algorithms to verify logical prop...
Walid Belkhir, Luigi Santocanale
SIAMDM
2008
115views more  SIAMDM 2008»
14 years 9 months ago
Rank-Width and Well-Quasi-Ordering
Robertson and Seymour (1990) proved that graphs of bounded tree-width are well-quasi-ordered by the graph minor relation. By extending their arguments, Geelen, Gerards, and Whittle...
Sang-il Oum
ISAAC
2009
Springer
109views Algorithms» more  ISAAC 2009»
15 years 4 months ago
A Linear Vertex Kernel for Maximum Internal Spanning Tree
We present an algorithm that for any graph G and integer k ≥ 0 in time polynomial in the size of G either nds a spanning tree with at least k internal vertices, or outputs a ne...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh, St&e...
CSCLP
2005
Springer
15 years 3 months ago
Partitioning Based Algorithms for Some Colouring Problems
We discuss four variants of the graph colouring problem, and present algorithms for solving them. The problems are k-Colourability, Max Ind k-COL, Max Val k-COL, and, finally, Max...
Ola Angelsmark, Johan Thapper