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» Graphs with Bounded Induced Distance
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EJC
2008
13 years 5 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
FSTTCS
2009
Springer
14 years 4 days ago
Domination Problems in Nowhere-Dense Classes
We investigate the parameterized complexity of generalisations and variations of the dominating set problem on classes of graphs that are nowhere dense. In particular, we show that...
Anuj Dawar, Stephan Kreutzer
SODA
2004
ACM
128views Algorithms» more  SODA 2004»
13 years 7 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
ARSCOM
2008
103views more  ARSCOM 2008»
13 years 5 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler
CIAC
1997
Springer
154views Algorithms» more  CIAC 1997»
13 years 9 months ago
Isomorphism for Graphs of Bounded Distance Width
In this paper, we study the Graph Isomorphism problem on graphs of bounded treewidth, bounded degree or bounded bandwidth. Graph Isomorphism can be solved in polynomial time for g...
Koichi Yamazaki, Hans L. Bodlaender, Babette de Fl...