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TPDS
2008
67views more  TPDS 2008»
14 years 11 months ago
Embedding Long Paths in k-Ary n-Cubes with Faulty Nodes and Links
Let k 4 be even and let n 2. Consider a faulty k-ary n-cube Qk n in which the number of node faults fv and the number of link faults fe are such that fv +fe 2n-2. We prove that ...
Iain A. Stewart, Yonghong Xiang
CPC
2004
69views more  CPC 2004»
14 years 11 months ago
New Bounds on Parent-Identifying Codes: The Case of Multiple Parents
Let C be a code of length n over an alphabet of q letters. A codeword y is called a descendant of a set of t codewords {x1 , . . . , xt } if yi {x1 i , . . . , xt i} for all i = ...
Noga Alon, Uri Stav
CPC
1998
91views more  CPC 1998»
14 years 11 months ago
Complexity and Probability of Some Boolean Formulas
For any Boolean functionf letL(f) be its formulasizecomplexityin the basis f^ 1g. For every n and every k n=2, we describe a probabilistic distribution on formulas in the basis f^...
Petr Savický
DM
1998
68views more  DM 1998»
14 years 11 months ago
Alternating cycles and trails in 2-edge-coloured complete multigraphs
We consider edge-coloured multigraphs. A trail in such a multigraph is alternating if its successive edges differ in colour. Let G be a 2-edge-coloured complete graph and let M b...
Jørgen Bang-Jensen, Gregory Gutin
COMGEO
1999
ACM
14 years 10 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid