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COMBINATORICS
2006
113views more  COMBINATORICS 2006»
15 years 6 months ago
Tilings of the Sphere with Right Triangles II: The (1, 3, 2), (0, 2, n) Subfamily
Sommerville [8] and Davies [2] classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. Relaxing this condition yields other triangles, which tile t...
Robert J. MacG. Dawson, Blair Doyle
COMBINATORICS
2006
158views more  COMBINATORICS 2006»
15 years 6 months ago
Reduced Canonical Forms of Stoppers
The reduced canonical form of a loopfree game G is the simplest game infinitesimally close to G. Reduced canonical forms were introduced by Calistrate, and Grossman and Siegel pro...
Aaron N. Siegel
COMBINATORICS
2006
98views more  COMBINATORICS 2006»
15 years 6 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
COMBINATORICS
2006
119views more  COMBINATORICS 2006»
15 years 6 months ago
Relaxations of Ore's Condition on Cycles
A simple, undirected 2-connected graph G of order n belongs to class O(n,), 0, if 2 = n - . It is well known (Ore's theorem) that G is hamiltonian if = 0, in which case the 2...
Ahmed Ainouche
COMBINATORICS
2006
140views more  COMBINATORICS 2006»
15 years 6 months ago
Characterization of [1, k]-Bar Visibility Trees
A unit bar-visibility graph is a graph whose vertices can be represented in the plane by disjoint horizontal unit-length bars such that two vertices are adjacent if and only if th...
Guantao Chen, Joan P. Hutchinson, Ken Keating, Jia...