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COMBINATORICS
2007
70views more  COMBINATORICS 2007»
13 years 10 months ago
Component Evolution in Random Intersection Graphs
Michael Behrisch
COMBINATORICS
2007
86views more  COMBINATORICS 2007»
13 years 10 months ago
On Directed Triangles in Digraphs
Using a recent result of Chudnovsky, Seymour, and Sullivan, we slightly improve two bounds related to the Caccetta-Haggkvist Conjecture. Namely, we show that if α ≥ 0.35312, th...
Peter Hamburger, Penny E. Haxell, Alexandr V. Kost...
COMBINATORICS
2007
88views more  COMBINATORICS 2007»
13 years 10 months ago
Balancing Cyclic R-ary Gray Codes
New cyclic n-digit Gray codes are constructed over {0, 1, . . . , R−1} for all R ≥ 3, n ≥ 2. These codes have the property that the distribution of the digit changes (transi...
Mary Flahive, Bella Bose
COMBINATORICS
2007
82views more  COMBINATORICS 2007»
13 years 10 months ago
Connectivity of the Lifts of a Greedoid
Steven J. Tedford
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 10 months ago
Asymptotics of the Average Height of 2-Watermelons with a Wall
We generalize the classical work of de Bruijn, Knuth and Rice (giving the asymptotics of the average height of Dyck paths of length n) to the case of p–watermelons with a wall (...
Markus Fulmek
COMBINATORICS
2007
72views more  COMBINATORICS 2007»
13 years 10 months ago
On Self-Complementary Cyclic Packing of Forests
A graph is self-complementary if it is isomorphic to its complement. In this paper we prove that every forest of order 4p and size less than 3p is a subgraph of a self-complementa...
A. Pawel Wojda, Mariusz Wozniak, Irmina A. Ziolo
COMBINATORICS
2007
59views more  COMBINATORICS 2007»
13 years 10 months ago
New Optimal Constant Weight Codes
In 2006, Smith et al. published a new table of constant weight codes, updating existing tables originally created by Brouwer et al. This paper improves upon these results by fill...
Igor Gashkov, D. Taub
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 10 months ago
Eigenvectors and Reconstruction
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
Hongyu He
COMBINATORICS
2007
121views more  COMBINATORICS 2007»
13 years 10 months ago
A Bound for Size Ramsey Numbers of Multi-partite Graphs
It is shown that the (diagonal) size Ramsey numbers of complete m-partite graphs Km(n) can be bounded from below by cn22(m−1)n, where c is a positive constant. Key words: Size R...
Yuqin Sun, Yusheng Li
COMBINATORICS
2007
84views more  COMBINATORICS 2007»
13 years 10 months ago
A Characterization of Balanced Episturmian Sequences
It is well-known that Sturmian sequences are the non ultimately periodic sequences that are balanced over a 2-letter alphabet. They are also characterized by their complexity: the...
Geneviève Paquin, Laurent Vuillon