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» Distance graphs with maximum chromatic number
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DM
2008
88views more  DM 2008»
13 years 7 months ago
Lower bounding the boundary of a graph in terms of its maximum or minimum degree
A vertex v of a graph G is a boundary vertex if there exists a vertex u such that the distance in G from u to v is at least the distance from u to any neighbour of v. We give the ...
Tobias Müller, Attila Pór, Jean-S&eacu...
SODA
2004
ACM
160views Algorithms» more  SODA 2004»
13 years 8 months ago
On colorings of squares of outerplanar graphs
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
Geir Agnarsson, Magnús M. Halldórsso...
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 7 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
JGAA
2008
100views more  JGAA 2008»
13 years 7 months ago
Parameters of Bar k-Visibility Graphs
Bar k-visibility graphs are graphs admitting a representation in which the vertices correspond to horizontal line segments, called bars, and the edges correspond to vertical lines...
Stefan Felsner, Mareike Massow
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
13 years 7 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster