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» On colorings of squares of outerplanar graphs
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CORR
2010
Springer
73views Education» more  CORR 2010»
13 years 5 months ago
On Touching Triangle Graphs
Abstract. In this paper, we consider the problem of representing graphs by triangles whose sides touch. We present linear time algorithms for creating touching triangles representa...
Emden R. Gansner, Yifan Hu, Stephen G. Kobourov
ENDM
2006
127views more  ENDM 2006»
13 years 5 months ago
Greedy defining sets in graphs and Latin squares
Greedy algorithm sometimes uses more than (G) colors while coloring a graph G. A greedy defining set is an object to eliminate these extra colors so that the greedy coloring resul...
Manouchehr Zaker
FUN
2010
Springer
285views Algorithms» more  FUN 2010»
13 years 10 months ago
An Algorithmic Analysis of the Honey-Bee Game
The Honey-Bee game is a two-player board game that is played on a connected hexagonal colored grid, or in a generalized setting, on a connected graph with colored nodes. In a singl...
Rudolf Fleischer, Gerhard J. Woeginger
SIAMDM
2008
154views more  SIAMDM 2008»
13 years 5 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...
COCOON
2007
Springer
13 years 11 months ago
Colored Simultaneous Geometric Embeddings
We introduce the concept of colored simultaneous geometric embeddings as a generalization of simultaneous graph embeddings with and without mapping. We show that there exists a uni...
Ulrik Brandes, Cesim Erten, J. Joseph Fowler, Fabr...