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SIAMDM
2008
97views more  SIAMDM 2008»
13 years 11 months ago
Large Nearly Regular Induced Subgraphs
For a real c 1 and an integer n, let f(n, c) denote the maximum integer f such that every graph on n vertices contains an induced subgraph on at least f vertices in which the max...
Noga Alon, Michael Krivelevich, Benny Sudakov
GC
2007
Springer
13 years 11 months ago
An s -Hamiltonian Line Graph Problem
For an integer k > 0, a graph G is k-triangular if every edge of G lies in at least k distinct 3-cycles of G. In (J Graph Theory 11:399–407 (1987)), Broersma and Veldman propo...
Zhi-Hong Chen, Hong-Jian Lai, Wai-Chee Shiu, Deyin...
ORL
2008
82views more  ORL 2008»
13 years 11 months ago
On test sets for nonlinear integer maximization
A finite test set for an integer optimization problem enables us to verify whether a feasible point attains the global optimum. We establish in this paper several general results ...
Jon Lee, Shmuel Onn, Robert Weismantel
ORL
2008
111views more  ORL 2008»
13 years 11 months ago
Certificates of linear mixed integer infeasibility
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in...
Kent Andersen, Quentin Louveaux, Robert Weismantel
EJC
2007
13 years 11 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n â...
Oliver Cooley, Daniela Kühn, Deryk Osthus
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
13 years 11 months ago
Bounding the Number of Edges in Permutation Graphs
Given an integer s 0 and a permutation Sn, let ,s be the graph on n vertices {1, . . . , n} where two vertices i < j are adjacent if the permutation flips their order and th...
Peter Keevash, Po-Shen Loh, Benny Sudakov
ALGORITHMICA
2006
63views more  ALGORITHMICA 2006»
13 years 11 months ago
A Local Limit Theorem in the Theory of Overpartitions
Abstract. An overpartition of an integer n is a partition where the last occurrence of a part can be overlined. We study the weight of the overlined parts of an overpartition count...
Sylvie Corteel, William M. Y. Goh, Pawel Hitczenko
4OR
2006
100views more  4OR 2006»
13 years 11 months ago
Nondecomposable solutions to group equations and an application to polyhedral combinatorics
This paper is based on the study of the set of nondecomposable integer solutions in a Gomory corner polyhedron, which was recently used in a reformulation method for integer linear...
Matthias Jach, Matthias Köppe, Robert Weisman...
DM
2008
98views more  DM 2008»
13 years 11 months ago
Constructing equidissections for certain classes of trapezoids
We investigate equidissections of a trapezoid T(a), where the ratio of the lengths of two parallel sides is a. (An equidissection is a dissection into triangles of equal areas.) A...
Charles H. Jepsen, Paul Monsky
DM
2008
73views more  DM 2008»
13 years 11 months ago
On multipartite posets
Let m 2 be an integer. We say that a poset P = (X, ) is m-partite if X has a partition X = X1
Geir Agnarsson