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» Bounding the Number of Edges in Permutation Graphs
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MFCS
2004
Springer
14 years 1 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
STOC
1997
ACM
76views Algorithms» more  STOC 1997»
14 years 19 days ago
Exploring Unknown Environments
We consider exploration problems where a robot has to construct a complete map of an unknown environment. We assume that the environment is modeled by a directed, strongly connecte...
Susanne Albers, Monika Rauch Henzinger
GC
2011
Springer
13 years 3 months ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...
WG
2010
Springer
13 years 6 months ago
Graphs with Large Obstacle Numbers
Motivated by questions in computer vision and sensor networks, Alpert et al. [3] introduced the following definitions. Given a graph G, an obstacle representation of G is a set of...
Padmini Mukkamala, János Pach, Deniz Sari&o...
AI
2010
Springer
13 years 8 months ago
Optimal query complexity bounds for finding graphs
We consider the problem of finding an unknown graph by using two types of queries with an additive property. Given a graph, an additive query asks the number of edges in a set of ...
Sung-Soon Choi, Jeong Han Kim