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» The independence number in graphs of maximum degree three
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SIAMDM
2008
154views more  SIAMDM 2008»
14 years 9 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...
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
15 years 3 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki
WDAG
2005
Springer
130views Algorithms» more  WDAG 2005»
15 years 3 months ago
Fast Deterministic Distributed Maximal Independent Set Computation on Growth-Bounded Graphs
Abstract. The distributed complexity of computing a maximal independent set in a graph is of both practical and theoretical importance. While there exists an elegant O(log n) time ...
Fabian Kuhn, Thomas Moscibroda, Tim Nieberg, Roger...
DM
2010
107views more  DM 2010»
14 years 9 months ago
Degree-associated reconstruction number of graphs
A card of a graph G is a subgraph formed by deleting one vertex. The Reconstruction Conjecture states that each graph with at least three vertices is determined by its multiset of...
Michael D. Barrus, Douglas B. West
JCT
2007
93views more  JCT 2007»
14 years 9 months ago
The circular chromatic index of graphs of high girth
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
Tomás Kaiser, Daniel Král, Riste Skr...