86 search results - page 9 / 18 » On the Maximum Degree of a Random Planar Graph |
DM
2008
14 years 11 months ago
2008
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
113
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WDAG
2010
Springer
14 years 10 months ago
2010
Springer
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
DMTCS
2006
14 years 11 months ago
2006
We consider the problem of generating a random q-colouring of a graph G = (V, E). We consider the simple Glauber Dynamics chain. We show that if for all v V the average degree of...
RANDOM
2001
Springer
15 years 4 months ago
2001
Springer
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
119
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COMGEO
2007
ACM
14 years 11 months ago
2007
ACM
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...