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COMBINATORICS
2006
169views more  COMBINATORICS 2006»
13 years 7 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
SOFSEM
2007
Springer
14 years 1 months ago
On Optimal Solutions for the Bottleneck Tower of Hanoi Problem
We study two aspects of a generalization of the Tower of Hanoi puzzle. In 1981, D. Wood suggested its variant, where a bigger disk may be placed higher than a smaller one if their ...
Yefim Dinitz, Shay Solomon
JGT
2006
48views more  JGT 2006»
13 years 7 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
ICML
2007
IEEE
14 years 8 months ago
Scalable modeling of real graphs using Kronecker multiplication
Given a large, real graph, how can we generate a synthetic graph that matches its properties, i.e., it has similar degree distribution, similar (small) diameter, similar spectrum,...
Jure Leskovec, Christos Faloutsos
PKDD
2005
Springer
155views Data Mining» more  PKDD 2005»
14 years 26 days ago
Realistic, Mathematically Tractable Graph Generation and Evolution, Using Kronecker Multiplication
How can we generate realistic graphs? In addition, how can we do so with a mathematically tractable model that makes it feasible to analyze their properties rigorously? Real graphs...
Jure Leskovec, Deepayan Chakrabarti, Jon M. Kleinb...