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» A note on generalized chromatic number and generalized girth
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SWAT
1994
Springer
113views Algorithms» more  SWAT 1994»
15 years 1 months ago
Trapezoid Graphs and Generalizations, Geometry and Algorithms
Trapezoid graphs are a class of cocomparability graphs containing interval graphs and permutation graphs as subclasses. They were introduced by Dagan, Golumbic and Pinter DGP]. Th...
Stefan Felsner, Rudolf Müller, Lorenz Wernisc...
82
Voted
COMBINATORICA
2008
92views more  COMBINATORICA 2008»
14 years 9 months ago
A separation theorem in property testing
Consider the following seemingly rhetorical question: Is it crucial for a property-tester to know the error parameter in advance? Previous papers dealing with various testing prob...
Noga Alon, Asaf Shapira
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
15 years 3 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
CORR
2004
Springer
106views Education» more  CORR 2004»
14 years 9 months ago
Why Delannoy numbers?
This article is not a research paper, but a little note on the history of combinatorics: we present here a tentative short biography of Henri Delannoy, and a survey of his most no...
Cyril Banderier, Sylviane R. Schwer
72
Voted
DM
2008
103views more  DM 2008»
14 years 9 months ago
A note on lattice chains and Delannoy numbers
Fix nonnegative integers n1, . . . , nd and let L denote the lattice of integer points (a1, . . . , ad) Zd satisfying 0 ai ni for 1 i d. Let L be partially ordered by the usua...
John S. Caughman IV, Clifford R. Haithcock, J. J. ...