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JCT
2008
35views more  JCT 2008»
14 years 9 months ago
Maximal periods of (Ehrhart) quasi-polynomials
A quasi-polynomial is a function defined of the form q(k) = cd(k) kd + cd-1(k) kd-1 +
Matthias Beck, Steven V. Sam, Kevin M. Woods
JCT
2008
79views more  JCT 2008»
14 years 9 months ago
Packing d-degenerate graphs
We study packings of graphs with given maximal degree. We shall prove that the (hitherto unproved) Bollob
Béla Bollobás, Alexandr V. Kostochka...
JCT
2008
84views more  JCT 2008»
14 years 8 months ago
Wild triangles in 3-connected matroids
Let {a, b, c} be a triangle in a 3-connected matroid M. In this paper, we describe the structure of M relative to {a, b, c} when, for all t in {a, b, c}, either M\t is not 3-connec...
James G. Oxley, Charles Semple, Geoff Whittle
JCT
2008
83views more  JCT 2008»
14 years 9 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
85views more  JCT 2008»
14 years 9 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