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98
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COMBINATORICA
2007
148views more  COMBINATORICA 2007»
15 years 13 days ago
Colored graphs without colorful cycles
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which each edge has a different color. We first show that ...
Richard N. Ball, Ales Pultr, Petr Vojtechovsk&yacu...
DM
2010
131views more  DM 2010»
15 years 15 days ago
Planar graphs without adjacent cycles of length at most seven are 3-colorable
We prove that every planar graph in which no i-cycle is adjacent to a j-cycle whenever 3 i j 7 is 3-colorable and pose some related problems on the 3-colorability of planar grap...
Oleg V. Borodin, Mickaël Montassier, Andr&eac...
113
Voted
CORR
2007
Springer
113views Education» more  CORR 2007»
15 years 12 days ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin
73
Voted
JCT
2006
100views more  JCT 2006»
15 years 12 days ago
On 3-colorable plane graphs without 5- and 7-cycles
Baogang Xu
96
Voted
COCOON
2007
Springer
15 years 6 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...