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» The Linear Complexity of a Graph
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IPL
2007
121views more  IPL 2007»
13 years 7 months ago
Parameterized complexity of the induced subgraph problem in directed graphs
In this paper, we consider the parameterized complexity of the following problem: Given a hereditary property P on digraphs, an input digraph D and a positive integer k, does D ha...
Venkatesh Raman, Somnath Sikdar
ACTA
2006
74views more  ACTA 2006»
13 years 7 months ago
Linearly bounded infinite graphs
Linearly bounded Turing machines have been mainly studied as acceptors for context-sensitive languages. We define a natural family of canonical infinite automata representing their...
Arnaud Carayol, Antoine Meyer
SIAMCOMP
2002
95views more  SIAMCOMP 2002»
13 years 7 months ago
A Linear Algorithm for Finding the Invariant Edges of an Edge-Weighted Graph
Given an edge-weighted graph where all weights are nonnegative reals, an edge reweighting is an assignment of nonnegative reals to edges such that, for each vertex, the sums of giv...
Francesco M. Malvestuto, Mauro Mezzini
ALGORITHMICA
2008
142views more  ALGORITHMICA 2008»
13 years 8 months ago
New Linear-Time Algorithms for Edge-Coloring Planar Graphs
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
Richard Cole, Lukasz Kowalik