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COMBINATORICS
2006
169views more  COMBINATORICS 2006»
15 years 6 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
DAM
2006
81views more  DAM 2006»
15 years 6 months ago
Equivalence-free exhaustive generation of matroid representations
Abstract. In this paper we present an algorithm for the problem of exhaustive equivalence-free generation of 3-connected matroids which are represented by a matrix over some finite...
Petr Hlinený
FUIN
2006
64views more  FUIN 2006»
15 years 6 months ago
Injectivity of the Parikh Matrix Mappings Revisited
We deal with the notion of M-unambiguity [5] in connection with the Parikh matrix mapping introduced by Mateescu and others in [7]. M-unambiguity is studied both in terms of words ...
Virgil Nicolae Serbanuta, Traian-Florin Serbanuta
GC
2006
Springer
15 years 6 months ago
On n-partite Tournaments with Unique n-cycle
An n-partite tournament is an orientation of a complete n-partite graph. An npartite tournament is a tournament, if it contains exactly one vertex in each partite set. Douglas, Pr...
Gregory Gutin, Arash Rafiey, Anders Yeo
COMBINATORICS
2007
100views more  COMBINATORICS 2007»
15 years 6 months ago
Revisiting Two Classical Results on Graph Spectra
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) If H is a proper subgraph of a connected graph G o...
Vladimir Nikiforov