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» The b-Chromatic Number of Cubic Graphs
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DAM
2000
78views more  DAM 2000»
13 years 7 months ago
Maximal cubic graphs with diameter 4
We prove that there is no cubic graph with diameter 4 on 40 vertices. This implies that the maximal number of vertices of a (3,4)-graph is 38. ? 2000 Elsevier Science B.V. All rig...
Dominique Buset
RSA
2002
81views more  RSA 2002»
13 years 7 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
SIAMDM
2002
124views more  SIAMDM 2002»
13 years 7 months ago
Counting Claw-Free Cubic Graphs
Let Hn be the number of claw-free cubic graphs on 2n labeled nodes. Combinatorial reductions are used to derive a second order, linear homogeneous differential equation with polyno...
Edgar M. Palmer, Ronald C. Read, Robert W. Robinso...
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
13 years 7 months ago
Constructions for Cubic Graphs with Large Girth
The aim of this paper is to give a coherent account of the problem of constructing cubic graphs with large girth. There is a well-defined integer µ0(g), the smallest number of v...
Norman Biggs
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki