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APPML
2006
71views more  APPML 2006»
13 years 9 months ago
Distance distribution of nodes in star graphs
The purpose of the paper is to provide an answer to a long standing problem to compute the distance distribution among the nodes in a star graph, i.e., to compute the exact number...
L. Wang, S. Subramanian, Shahram Latifi, Pradip K....
FOCM
2008
77views more  FOCM 2008»
13 years 9 months ago
Modular Counting of Rational Points over Finite Fields
Let Fq be the finite field of q elements, where q = ph. Let f(x) be a polynomial over Fq in n variables with m non-zero terms. Let N(f) denote the number of solutions of f(x) = 0 ...
Daqing Wan
COMBINATORICA
2006
69views more  COMBINATORICA 2006»
13 years 9 months ago
Distance Sequences In Locally Infinite Vertex-Transitive Digraphs
We prove that the out-distance sequence {f+ (k)} of a vertex-transitive digraph of finite or infinite degree satisfies f+ (k + 1) f+ (k)2 for k 1, where f+ (k) denotes the numbe...
Wesley Pegden
DM
2007
98views more  DM 2007»
13 years 9 months ago
p-adic valuations and k-regular sequences
A sequence is said to be k-automatic if the nth term of this sequence is generated by a finite state machine with n in base k as input. Regular sequences were first defined by ...
Jason P. Bell
SEMWEB
2010
Springer
13 years 7 months ago
Completeness Guarantees for Incomplete Reasoners
Abstract. We extend our recent work on evaluating incomplete reasoners by introducing strict testing bases. We show how they can be used in practice to identify ontologies and quer...
Giorgos Stoilos, Bernardo Cuenca Grau, Ian Horrock...