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» On Bounds for the k-Partitioning of Graphs
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SODA
2007
ACM
131views Algorithms» more  SODA 2007»
15 years 7 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty
COLOGNETWENTE
2009
15 years 7 months ago
Acyclic and Frugal Colourings of Graphs
Given a graph G = (V, E), a proper vertex colouring of V is t-frugal if no colour appears more than t times in any neighbourhood and is acyclic if each of the bipartite graphs con...
Ross J. Kang, Tobias Müller
GG
2010
Springer
15 years 7 months ago
On the Computation of McMillan's Prefix for Contextual Nets and Graph Grammars
In recent years, a research thread focused on the use of the unfolding semantics for verification purposes. This started with a paper by McMillan, which devises an algorithm for co...
Paolo Baldan, Alessandro Bruni, Andrea Corradini, ...
DAM
2008
84views more  DAM 2008»
15 years 6 months ago
Edge-splittings preserving local edge-connectivity of graphs
Let G = (V + s, E) be a 2-edge-connected graph with a designated vertex s. A pair of edges rs, st is called admissible if splitting off these edges (replacing rs and st by rt) pre...
Zoltán Szigeti
DM
2008
112views more  DM 2008»
15 years 6 months ago
Coloring the Cartesian sum of graphs
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...
Daphne Der-Fen Liu, Xuding Zhu