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» Proof of a Chromatic Polynomial Conjecture
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DCG
1998
66views more  DCG 1998»
13 years 7 months ago
The Volume as a Metric Invariant of Polyhedra
It is proved that in R3 the volume of any polyhedron is a root of some polynomial with coefficients depending only on the combinatorial structure and the metric of the polyhedron....
Idzhad Kh. Sabitov
CCCG
2003
13 years 8 months ago
Coloring Objects Built From Bricks
We address a question posed by Sibley and Wagon. They proved that rhombic Penrose tilings in the plane can be 3colored, but a key lemma of their proof fails in the natural 3D gene...
Suzanne Gallagher, Joseph O'Rourke
JSC
2008
58views more  JSC 2008»
13 years 7 months ago
A Groebner basis approach to solve a Conjecture of Nowicki
Let k be a field of characteristic zero, n any positive integer and let n be the derivation n i=1 Xi Yi of the polynomial ring k[X1, . . . , Xn, Y1, . . . , Yn] in 2n variables o...
Joseph Khoury
DM
2010
77views more  DM 2010»
13 years 7 months ago
Hall-Littlewood polynomials and fixed point enumeration
We resolve affirmatively some conjectures of Reiner, Stanton, and White [6] regarding enumeration of various classes of matrices which are invariant under certain cyclic row and co...
Brendon Rhoades
COMBINATORICA
2008
89views more  COMBINATORICA 2008»
13 years 7 months ago
The stable set polytope of quasi-line graphs
It is a long standing open problem to find an explicit description of the stable set polytope of clawfree graphs. Yet more than 20 years after the discovery of a polynomial algori...
Friedrich Eisenbrand, Gianpaolo Oriolo, Gautier St...