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ICCS
2007
Springer
15 years 10 months ago
Hamiltonian Connected Line Graphs
1 A graph G is hamiltonian-connected if any two of its vertices are connected by a Hamilton2 path (a path including every vertex of G); and G is s-hamiltonian-connected if the del...
Dengxin Li, Hong-Jian Lai, Yehong Shao, Mingquan Z...
AAIM
2008
Springer
142views Algorithms» more  AAIM 2008»
15 years 8 months ago
Engineering Label-Constrained Shortest-Path Algorithms
We consider a generalization of the shortest-path problem: given an alphabet , a graph G whose edges are weighted and -labeled, and a regular language L , the L-constrained shortes...
Christopher L. Barrett, Keith R. Bisset, Martin Ho...
CATS
2008
15 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...
DM
2008
55views more  DM 2008»
15 years 6 months ago
Improved pebbling bounds
Consider a configuration of pebbles distributed on the vertices of a connected graph of order n. A pebbling step consists of removing two pebbles from a given vertex and placing o...
Melody Chan, Anant P. Godbole
DM
2008
177views more  DM 2008»
15 years 6 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...