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TPDS
2008
67views more  TPDS 2008»
15 years 6 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»
15 years 6 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»
15 years 6 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»
15 years 6 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
15 years 6 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