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» Graphs, partitions and Fibonacci numbers
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ALMOB
2006
89views more  ALMOB 2006»
13 years 8 months ago
On the maximal cliques in c-max-tolerance graphs and their application in clustering molecular sequences
Given a set S of n locally aligned sequences, it is a needed prerequisite to partition it into groups of very similar sequences to facilitate subsequent computations, such as the ...
Katharina Anna Lehmann, Michael Kaufmann, Stephan ...
JCT
2008
76views more  JCT 2008»
13 years 8 months ago
Quadruple systems with independent neighborhoods
A 4-graph is odd if its vertex set can be partitioned into two sets so that every edge intersects both parts in an odd number of points. Let b(n) = max n 3 + (n - ) 3 = 1 2 + o...
Zoltán Füredi, Dhruv Mubayi, Oleg Pikh...
SAC
2005
ACM
14 years 1 months ago
Discovering parametric clusters in social small-world graphs
We present a strategy for analyzing large, social small-world graphs, such as those formed by human networks. Our approach brings together ideas from a number of different resear...
Jonathan McPherson, Kwan-Liu Ma, Michael Ogawa
JCT
2007
107views more  JCT 2007»
13 years 7 months ago
On a conjecture of Wilf
Abstract. Let n and k be natural numbers and let S(n, k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum nX j=0 (−1)j S(n, j) ...
Stefan De Wannemacker, Thomas Laffey, Robert Osbur...
ARSCOM
2002
53views more  ARSCOM 2002»
13 years 7 months ago
Embedding Graphs Containing K5-Subdivisions
Given a non-planar graph G with a subdivision of K5 as a subgraph, we can either transform the K5-subdivision into a K3,3-subdivision if it is possible, or else we obtain a partit...
Andrei V. Gagarin, William Kocay