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WG
2005
Springer
15 years 3 months ago
Faster Dynamic Algorithms for Chordal Graphs, and an Application to Phylogeny
We improve the current complexities for maintaining a chordal graph by starting with an empty graph and repeatedly adding or deleting edges.
Anne Berry, Alain Sigayret, Jeremy Spinrad
WG
2005
Springer
15 years 3 months ago
Optimal Broadcast Domination of Arbitrary Graphs in Polynomial Time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that vertices can be assigned various domination powers. Broa...
Pinar Heggernes, Daniel Lokshtanov
WG
2005
Springer
15 years 3 months ago
Channel Assignment and Improper Choosability of Graphs
Abstract. We model a problem proposed by Alcatel, a satellite building company, using improper colourings of graphs. The relation between improper colourings and maximum average de...
Frédéric Havet, Jean-Sébastie...
WG
2005
Springer
15 years 3 months ago
Recognizing HHDS-Free Graphs
In this paper, we consider the recognition problem on the HHDS-free graphs, a class of homogeneously orderable graphs, and we show that it has polynomial time complexity. In partic...
Stavros D. Nikolopoulos, Leonidas Palios
WG
2005
Springer
15 years 3 months ago
Fully Dynamic Algorithm for Recognition and Modular Decomposition of Permutation Graphs
This paper considers the problem of maintaining a compact representation (O(n) space) of permutation graphs under vertex and edge modifications (insertion or deletion). That repr...
Christophe Crespelle, Christophe Paul