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» On the Grundy Number of a Graph
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AVI
2004
13 years 9 months ago
Using games to investigate movement for graph comprehension
We describe the results of empirical investigations that explore the effectiveness of moving graph diagrams to improve the comprehension of their structure. The investigations inv...
John Bovey, Florence Benoy, Peter Rodgers
CPC
2006
93views more  CPC 2006»
13 years 7 months ago
Generating Outerplanar Graphs Uniformly at Random
We show how to generate labeled and unlabeled outerplanar graphs with n vertices uniformly at random in polynomial time in n. To generate labeled outerplanar graphs, we present a c...
Manuel Bodirsky, Mihyun Kang
ENDM
2007
75views more  ENDM 2007»
13 years 7 months ago
Graph classes with given 3-connected components: asymptotic counting and critical phenomena
Fix a family T of 3-connected graphs, and let G be the class of graphs whose 3connected components are the graphs in T . We present a general framework for analyzing such graph cl...
Omer Giménez, Marc Noy, Juan José Ru...
EJC
2006
13 years 7 months ago
Symplectic graphs and their automorphisms
The general symplectic graph Sp(2, q) is introduced. It is shown that Sp(2, q) is strongly regular. Its parameters are computed, its chromatic number and group of graph automorphis...
Zhongming Tang, Zhe-xian Wan
ENDM
2002
97views more  ENDM 2002»
13 years 7 months ago
Traceability in Small Claw-Free Graphs
We prove that a claw-free, 2-connected graph with fewer than 18 vertices is traceable, and we determine all non-traceable, claw-free, 2-connected graphs with exactly 18 vertices an...
John M. Harris, Michael J. Mossinghoff