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» Counting paths in digraphs
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JCO
2007
130views more  JCO 2007»
13 years 7 months ago
On edge orienting methods for graph coloring
We consider the problem of orienting the edges of a graph so that the length of a longest path in the resulting digraph is minimum. As shown by Gallai, Roy and Vitaver, this edge ...
Bernard Gendron, Alain Hertz, Patrick St-Louis
SODA
2008
ACM
96views Algorithms» more  SODA 2008»
13 years 9 months ago
Unconditionally reliable message transmission in directed networks
In the unconditionally reliable message transmission (URMT) problem, two non-faulty players, the sender S and the receiver R are part of a synchronous network modeled as a directe...
Bhavani Shankar, Prasant Gopal, Kannan Srinathan, ...
CORR
2012
Springer
193views Education» more  CORR 2012»
12 years 3 months ago
Approximate Counting of Matchings in Sparse Hypergraphs
Abstract. In this paper we give a fully polynomial randomized approximation scheme (FPRAS) for the number of all matchings in hypergraphs belonging to a class of sparse, uniform hy...
Marek Karpinski, Andrzej Rucinski, Edyta Szymanska
IWPEC
2004
Springer
14 years 24 days ago
Chordless Paths Through Three Vertices
Consider the following problem, that we call “Chordless Path through Three Vertices” or CP3V, for short: Given a simple undirected graph G = (V, E), a positive integer k, and t...
Robert Haas, Michael Hoffmann
CORR
2008
Springer
72views Education» more  CORR 2008»
13 years 7 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar