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» Finite locally-quasiprimitive graphs
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JCT
2008
84views more  JCT 2008»
15 years 1 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas
84
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CORR
2008
Springer
77views Education» more  CORR 2008»
15 years 1 months ago
Principal Graphs and Manifolds
In many physical statistical, biological and other investigations it is desirable to approximate a system of points by objects of lower dimension and/or complexity. For this purpo...
Alexander N. Gorban, Andrei Yu. Zinovyev
70
Voted
DM
2006
83views more  DM 2006»
15 years 1 months ago
A note on k-cop, l-robber games on graphs
We give an algorithmic characterisation of finite cop-win digraphs. The case of k > 1 cops and k l 1 robbers is then reduced to the one cop case. Similar characterisations are ...
Gena Hahn, Gary MacGillivray
109
Voted
COMBINATORICS
2006
98views more  COMBINATORICS 2006»
15 years 1 months ago
Restricted Walks in Regular Trees
Let T be the Cayley graph of a finitely generated free group F. Given two vertices in T consider all the walks of a given length between these vertices that at a certain time must...
Laura Ciobanu, Sasa Radomirovic
111
Voted
JCT
2008
85views more  JCT 2008»
15 years 1 months ago
Smith normal form and Laplacians
Let M denote the Laplacian matrix of a graph G. Associated with G is a finite group (G), obtained from the Smith normal form of M, and whose order is the number of spanning trees o...
Dino J. Lorenzini