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» On Bounds for the k-Partitioning of Graphs
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DAM
1999
169views more  DAM 1999»
14 years 10 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
40
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PPL
1998
117views more  PPL 1998»
14 years 9 months ago
Messy Broadcasting
In this paper, we describe an ordering of the vertices of a 2-dimensional torus and study the upper bound on the orderly broadcast time. Along with messy broadcasting, orderly bro...
Hovhannes A. Harutyunyan, Arthur L. Liestman
IPL
2011
88views more  IPL 2011»
14 years 5 months ago
Smooth movement and Manhattan path based Random Waypoint mobility
In this paper, we study the stationary node distribution of a variation of the Random Waypoint mobility model, in which nodes move in a smooth way following one randomly chosen Ma...
Pilu Crescenzi, Miriam Di Ianni, Andrea Marino, Do...
86
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JGT
2010
152views more  JGT 2010»
14 years 5 months ago
Cycles of even lengths modulo k
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
Ajit A. Diwan
CIAC
2010
Springer
262views Algorithms» more  CIAC 2010»
15 years 1 months ago
Graph unique-maximum and conflict-free colorings
We investigate the relationship between two kinds of vertex colorings of graphs: uniquemaximum colorings and conflict-free colorings. In a unique-maximum coloring, the colors are ...
Panagiotis Cheilaris and Géza Tóth