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» On the Vulnerability of Large Graphs
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DM
2006
124views more  DM 2006»
15 years 6 months ago
Hall ratio of the Mycielski graphs
Let n(G) denote the number of vertices of a graph G and let (G) be the independence number of G, the maximum number of pairwise nonadjacent vertices of G. The Hall ratio of a grap...
Mathew Cropper, András Gyárfá...
JCO
2008
134views more  JCO 2008»
15 years 6 months ago
On minimum m -connected k -dominating set problem in unit disc graphs
Minimum m-connected k-dominating set problem is as follows: Given a graph G = (V,E) and two natural numbers m and k, find a subset S V of minimal size such that every vertex in V ...
Weiping Shang, F. Frances Yao, Peng-Jun Wan, Xiaod...
JCT
2007
98views more  JCT 2007»
15 years 6 months ago
Triangular embeddings of complete graphs from graceful labellings of paths
We show that to each graceful labelling of a path on 2s + 1 vertices, s ≥ 2, there corresponds a current assignment on a 3-valent graph which generates at least 22s cyclic orien...
Luis A. Goddyn, R. Bruce Richter, Jozef Sirá...
CSL
2004
Springer
15 years 6 months ago
Arc minimization in finite-state decoding graphs with cross-word acoustic context
Recent approaches to large vocabulary decoding with finite state graphs have focused on the use of state minimization algorithms to produce relatively compact graphs. This paper e...
François Yvon, Geoffrey Zweig, George Saon
CORR
2010
Springer
185views Education» more  CORR 2010»
15 years 6 months ago
Estimating and Sampling Graphs with Multidimensional Random Walks
Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random w...
Bruno F. Ribeiro, Donald F. Towsley