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APPML
2005
68views more  APPML 2005»
15 years 6 months ago
A note on edge fault tolerance with respect to hypercubes
In the previous studies on k-edge fault tolerance with respect to hypercubes Qn, matrices for generating linear k-EFT(Qn) graphs were used. Let EFTL(n, k) denote the set of matric...
Tung-Yang Ho, Ting-Yi Sung, Lih-Hsing Hsu
JCT
2006
80views more  JCT 2006»
15 years 6 months ago
Extending precolorings to circular colorings
Fix positive integers k , d , k, d such that k /d > k/d 2. If P is a set of vertices in a (k, d)-colorable graph G, and any two vertices of P are separated by distance at leas...
Michael O. Albertson, Douglas B. West
JGT
2006
40views more  JGT 2006»
15 years 6 months ago
How many graphs are unions of k-cliques?
We study the number F[n; k] of n-vertex graphs that can be written as the edgeunion of k-vertex cliques. We obtain reasonably tight estimates for F[n; k] in the cases (i) k = n-o(...
Béla Bollobás, Graham Brightwell
EJC
2007
15 years 6 months ago
Constructing t-designs from t-wise balanced designs
We give a construction to obtain a t-design from a t-wise balanced design. More precisely, given a positive integer k and a t(v, {k1, k2, . . . , ks}, λ) design D, with with all ...
John P. McSorley, Leonard H. Soicher
CORR
2008
Springer
114views Education» more  CORR 2008»
15 years 6 months ago
Multiparty Communication Complexity of Disjointness
We obtain a lower bound of n 1 k+1 22k (k-1)2k-1 on the k-party randomized communication complexity of the Disjointness function in the `Number on the Forehead' model of mul...
Arkadev Chattopadhyay, Anil Ada