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IWPEC
2004
Springer
15 years 3 months ago
Computing Small Search Numbers in Linear Time
Let G = V; E be a graph. The linear-width of G is de ned as the smallest integer k such that E can be arranged in a linear ordering e1; : : : ; er such that for every i = 1; :...
Hans L. Bodlaender, Dimitrios M. Thilikos
WG
2007
Springer
15 years 3 months ago
Proper Helly Circular-Arc Graphs
A circular-arc model M = (C, A) is a circle C together with a collection A of arcs of C. If no arc is contained in any other then M is a proper circular-arc model, if every arc has...
Min Chih Lin, Francisco J. Soulignac, Jayme Luiz S...
STOC
2006
ACM
114views Algorithms» more  STOC 2006»
15 years 10 months ago
Linear time low tree-width partitions and algorithmic consequences
Classes of graphs with bounded expansion have been introduced in [15], [12]. They generalize both proper minor closed classes and classes with bounded degree. For any class with b...
Jaroslav Nesetril, Patrice Ossona de Mendez
SIAMDM
2008
105views more  SIAMDM 2008»
14 years 8 months ago
A Simple Linear Time LexBFS Cograph Recognition Algorithm
Recently lexicographic breadth first search (LexBFS) has been shown to be a very powerful tool for the development of linear time, easily implementable recognition algorithms for v...
Anna Bretscher, Derek G. Corneil, Michel Habib, Ch...
STOC
1990
ACM
96views Algorithms» more  STOC 1990»
15 years 1 months ago
Monotone Circuits for Matching Require Linear Depth
We prove that monotone circuits computing the perfect matching function on n-vertex graphs require (n) depth. This implies an exponential gap between the depth of monotone and non...
Ran Raz, Avi Wigderson