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DM
2002
104views more  DM 2002»
13 years 9 months ago
Graphs induced by Gray codes
We disprove a conjecture of Bultena and Ruskey [1], that all trees which are cyclic graphs of cyclic Gray codes have diameter 2 or 4, by producing codes whose cyclic graphs are tre...
Elizabeth L. Wilmer, Michael D. Ernst
COMBINATORICS
2006
169views more  COMBINATORICS 2006»
13 years 9 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung
JGT
2006
48views more  JGT 2006»
13 years 9 months ago
Maximum pebbling number of graphs of diameter three
Given a configuration of pebbles on the vertices of a graph G, a pebbling move consists of taking two pebbles off some vertex v and putting one of them back on a vertex adjacent t...
Boris Bukh
IWCIA
2004
Springer
14 years 3 months ago
Integral Trees: Subtree Depth and Diameter
Regions in an image graph can be described by their spanning tree. A graph pyramid is a stack of image graphs at different granularities. Integral features capture important prope...
Walter G. Kropatsch, Yll Haxhimusa, Zygmunt Pizlo
KDD
2005
ACM
140views Data Mining» more  KDD 2005»
14 years 10 months ago
Graphs over time: densification laws, shrinking diameters and possible explanations
How do real graphs evolve over time? What are "normal" growth patterns in social, technological, and information networks? Many studies have discovered patterns in stati...
Jure Leskovec, Jon M. Kleinberg, Christos Faloutso...