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» The Alcuin Number of a Graph
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RSA
2008
125views more  RSA 2008»
13 years 7 months ago
The game chromatic number of random graphs
: Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player ...
Tom Bohman, Alan M. Frieze, Benny Sudakov
DM
1998
69views more  DM 1998»
13 years 7 months ago
A study of the total chromatic number of equibipartite graphs
The total chromatic number zt(G) of a graph G is the least number of colors needed to color the vertices and edges of G so that no adjacent vertices or edges receive the same colo...
Bor-Liang Chen, Chun-Kan Cheng, Hung-Lin Fu, Kuo-C...
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 2 months ago
Lower bounds on the obstacle number of graphs
Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices ...
Padmini Mukkamala, János Pach, Döm&oum...
GD
2007
Springer
14 years 2 months ago
Crossing Number of Graphs with Rotation Systems
We show that computing the crossing number of a graph with a given rotation system is NP-complete. This result leads to a new and much simpler proof of Hlinˇen´y’s result, tha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
SIAMDM
2010
89views more  SIAMDM 2010»
13 years 2 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang