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» Vertex partitions of chordal graphs
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GC
2011
Springer
12 years 11 months ago
Minimum Clique Partition in Unit Disk Graphs
The minimum clique partition (MCP) problem is that of partitioning the vertex set of a given graph into a minimum number of cliques. Given n points in the plane, the corresponding...
Adrian Dumitrescu, János Pach
IWOCA
2010
Springer
232views Algorithms» more  IWOCA 2010»
13 years 2 months ago
Computing Role Assignments of Proper Interval Graphs in Polynomial Time
A homomorphism from a graph G to a graph R is locally surjective if its restriction to the neighborhood of each vertex of G is surjective. Such a homomorphism is also called an R-r...
Pinar Heggernes, Pim van 't Hof, Daniël Paulu...
DAM
2007
81views more  DAM 2007»
13 years 7 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...
FOCS
2008
IEEE
14 years 2 months ago
Computing the Tutte Polynomial in Vertex-Exponential Time
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
DAM
2006
81views more  DAM 2006»
13 years 7 months ago
The satisfactory partition problem
The Satisfactory Partition problem consists in deciding if a given graph has a partition of its vertex set into two nonempty parts such that each vertex has at least as many neigh...
Cristina Bazgan, Zsolt Tuza, Daniel Vanderpooten