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» Oriented vertex and arc colorings of outerplanar graphs
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SIAMDM
2008
154views more  SIAMDM 2008»
13 years 4 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
DAM
2011
12 years 11 months ago
A study of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph ...
Martin Knor, Guangjun Xu, Sanming Zhou
IPPS
2007
IEEE
13 years 11 months ago
Minimum number of wavelengths equals load in a DAG without internal cycle
Let P be a family of dipaths. The load of an arc is the number of dipaths containing this arc. Let π(G, P) be the maximum of the load of all the arcs and let w(G, P) be the minim...
Jean-Claude Bermond, Michel Cosnard
ICALP
2005
Springer
13 years 10 months ago
Approximation Algorithms for the Max-coloring Problem
Given a graph G = (V, E) and positive integral vertex weights w : V → N, the max-coloring problem seeks to find a proper vertex coloring of G whose color classes C1, C2, . . . ,...
Sriram V. Pemmaraju, Rajiv Raman
SIROCCO
1997
13 years 6 months ago
Static Frequency Assignment in Cellular Networks
A cellular network is generally modeled as a subgraph of the triangular lattice. In the static frequency assignment problem, each vertex of the graph is a base station in the netw...
Lata Narayanan, Sunil M. Shende