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» Induced Subgraphs of Bounded Degree and Bounded Treewidth
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EJC
2008
13 years 4 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
CORR
1999
Springer
145views Education» more  CORR 1999»
13 years 4 months ago
Subgraph Isomorphism in Planar Graphs and Related Problems
We solve the subgraph isomorphism problem in planar graphs in linear time, for any pattern of constant size. Our results are based on a technique of partitioning the planar graph ...
David Eppstein
DM
2010
143views more  DM 2010»
13 years 4 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
13 years 10 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
NETWORKS
2008
13 years 4 months ago
Lower bounds for two-period grooming via linear programming duality
In a problem arising in grooming for two-period optical networks, it is required to decompose the complete graph on n vertices into subgraphs each containing at most C edges, so t...
Charles J. Colbourn, Gaetano Quattrocchi, Violet R...