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» On Computing Longest Paths in Small Graph Classes
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IJFCS
2007
93views more  IJFCS 2007»
13 years 4 months ago
On Computing Longest Paths in Small Graph Classes
The longest path problem is to find a longest path in a given graph. While the graph classes in which the Hamiltonian path problem can be solved efficiently are widely investigat...
Ryuhei Uehara, Yushi Uno
MFCS
2009
Springer
13 years 11 months ago
The Longest Path Problem Is Polynomial on Interval Graphs
The longest path problem is the problem of finding a path of maximum length in a graph. Polynomial solutions for this problem are known only for small classes of graphs, while it ...
Kyriaki Ioannidou, George B. Mertzios, Stavros D. ...
IPL
2007
130views more  IPL 2007»
13 years 4 months ago
Linear structure of bipartite permutation graphs and the longest path problem
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
Ryuhei Uehara, Gabriel Valiente
SMC
2010
IEEE
158views Control Systems» more  SMC 2010»
13 years 2 months ago
A study of genetic algorithms for approximating the longest path in generic graphs
Abstract--Finding the longest simple path in a generic undirected graph is a challenging issue that belongs to the NPComplete class of problems. Four approaches based on genetic al...
David Portugal, Carlos Henggeler Antunes, Rui Roch...
CORR
2008
Springer
72views Education» more  CORR 2008»
13 years 4 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