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COMBINATORICS
1998
103views more  COMBINATORICS 1998»
14 years 11 months ago
Recognizing Circulant Graphs of Prime Order in Polynomial Time
A circulant graph G of order n is a Cayley graph over the cyclic group Zn. Equivalently, G is circulant iff its vertices can be ordered such that the corresponding adjacency matr...
Mikhail E. Muzychuk, Gottfried Tinhofer
CORR
2012
Springer
194views Education» more  CORR 2012»
13 years 7 months ago
A Graph Theoretical Approach to Network Encoding Complexity
Consider an acyclic directed network G with sources S1, S2, . . . , Sl and distinct sinks R1, R2, . . . , Rl. For i = 1, 2, . . . , l, let ci denote the min-cut between Si and Ri....
Li Xu, Weiping Shang, Guangyue Han
EJC
2010
14 years 11 months ago
Some graphs related to the small Mathieu groups
Two different constructions are given of a rank 8 arc-transitive graph with 165 vertices and valency 8, whose automorphism group
Alice Devillers, Michael Giudici, Cai Heng Li, Che...
ICTAI
2010
IEEE
14 years 9 months ago
An Effective Multilevel Memetic Algorithm for Balanced Graph Partitioning
The balanced graph partitioning consists in dividing the vertices of an undirected graph into a given number of subsets of approximately equal size, such that the number of edges c...
Una Benlic, Jin-Kao Hao
COMBINATORICA
2000
105views more  COMBINATORICA 2000»
14 years 11 months ago
On Cayley Graphs on the Symmetric Group Generated by Tranpositions
Given a connected graph, X, we denote by 2 = 2(X) its smallest non-zero Laplacian eigenvalue. In this paper we show that among all sets of n - 1 transpositions which generate the ...
Joel Friedman