33 search results - page 6 / 7 » Crossing-critical graphs with large maximum degree |
SODA
2000
ACM
13 years 10 months ago
2000
ACM
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
ALGORITHMICA
2002
13 years 8 months ago
2002
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
JCT
2008
13 years 8 months ago
2008
A 4-graph is odd if its vertex set can be partitioned into two sets so that every edge intersects both parts in an odd number of points. Let b(n) = max n 3 + (n - ) 3 = 1 2 + o...
WDAG
2000
Springer
14 years 10 days ago
2000
Springer
A graph G with n vertices and maximum degree G cannot be given weak sense of direction using less than G colours. It is known that n colours are always sufficient, and it was conje...
KDD
2012
ACM
11 years 11 months ago
2012
ACM
We study a novel clustering problem in which the pairwise relations between objects are categorical. This problem can be viewed as clustering the vertices of a graph whose edges a...