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JCT
2008
44views more  JCT 2008»
13 years 4 months ago
Quasi-isometries between graphs and trees
Bernhard Krön, Rögnvaldur G. Möller
JCT
2008
85views more  JCT 2008»
13 years 4 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
JCT
2008
84views more  JCT 2008»
13 years 4 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
JCT
2008
70views more  JCT 2008»
13 years 4 months ago
Bruhat order, smooth Schubert varieties, and hyperplane arrangements
The aim of this article is to link Schubert varieties in the flag manifold with hyperplane arrangements. For a permutation, we construct a certain graphical hyperplane arrangement....
Suho Oh, Alexander Postnikov, Hwanchul Yoo
JCT
2008
132views more  JCT 2008»
13 years 4 months ago
The absolute order on the symmetric group, constructible partially ordered sets and Cohen-Macaulay complexes
The absolute order is a natural partial order on a Coxeter group W. It can be viewed as an analogue of the weak order on W in which the role of the generating set of simple reflec...
Christos A. Athanasiadis, Myrto Kallipoliti
JCT
2008
83views more  JCT 2008»
13 years 4 months ago
Bounds on degrees of p-adic separating polynomials
We study a discrete optimization problem introduced by Babai, Frankl, Kutin, and Stefankovic (2001), which provides bounds on degrees of polynomials with p-adically controlled beh...
Daniel J. Katz, Joshua Zahl
JCT
2008
68views more  JCT 2008»
13 years 4 months ago
Pseudo 2-factor isomorphic regular bipartite graphs
A graph is pseudo 2
Marien Abreu, A. A. Diwan, Bill Jackson, Domenico ...