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COMBINATORICS
1998
103views more  COMBINATORICS 1998»
13 years 7 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»
12 years 3 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
13 years 7 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
13 years 5 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»
13 years 7 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