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» The Longest Path Problem Is Polynomial on Interval Graphs
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MFCS
2004
Springer
14 years 22 days ago
Generating Paths and Cuts in Multi-pole (Di)graphs
Let G = (V, E) be a (directed) graph with vertex set V and edge (arc) set E. Given a set P of (source-sink) pairs of vertices of G, an important problem that arises in the computat...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...
NETWORKS
2010
13 years 5 months ago
Complexity of some inverse shortest path lengths problems
The input to an Inverse Shortest Path Lengths Problem (ISPL) consists of a graph G with arc weights, and a collection of source-sink pairs with prescribed distances that do not ne...
Tingting Cui, Dorit S. Hochbaum
CATS
2008
13 years 8 months ago
An ILP for the metro-line crossing problem
In this paper we consider a problem that occurs when drawing public transportation networks. Given an embedded graph G = (V, E) (e.g. the railroad network) and a set H of paths in...
Matthew Asquith, Joachim Gudmundsson, Damian Merri...
CIAC
1997
Springer
154views Algorithms» more  CIAC 1997»
13 years 11 months ago
Isomorphism for Graphs of Bounded Distance Width
In this paper, we study the Graph Isomorphism problem on graphs of bounded treewidth, bounded degree or bounded bandwidth. Graph Isomorphism can be solved in polynomial time for g...
Koichi Yamazaki, Hans L. Bodlaender, Babette de Fl...
SAC
2010
ACM
14 years 2 months ago
MSP algorithm: multi-robot patrolling based on territory allocation using balanced graph partitioning
This article addresses the problem of efficient multi-robot patrolling in a known environment. The proposed approach assigns regions to each mobile agent. Every region is represen...
David Portugal, Rui Rocha