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» On Bounds for the k-Partitioning of Graphs
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EJC
2010
14 years 10 months ago
The spread of the unicyclic graphs
Let G be a simple connected graph with n vertices and n edges which we call an unicyclic graph. In this paper, we first investigate the least eigenvalue n(G), then we present two ...
Yarong Wu, Jinlong Shu
RSA
2006
80views more  RSA 2006»
14 years 10 months ago
Regular subgraphs of random graphs
In this paper, we prove that there exists a function k = (4 + o(1))k such that G(n, /n) contains a k-regular graph with high probability whenever > k. In the case of k = 3, it...
Béla Bollobás, Jeong Han Kim, Jacque...
STACS
2009
Springer
15 years 4 months ago
The Price of Anarchy in Cooperative Network Creation Games
We analyze the structure of equilibria and the price of anarchy in the family of network creation games considered extensively in the past few years, which attempt to unify the net...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Hamid M...
GG
2004
Springer
15 years 3 months ago
Composition of Path Transductions
We propose to study two infinite graph transformations that we respectively call bounded and unbounded path transduction. These graph transformations are based on path substitutio...
Tanguy Urvoy
SWAT
1994
Springer
86views Algorithms» more  SWAT 1994»
15 years 2 months ago
Sequential and Parallel Algorithms for Embedding Problems on Classes of Partial k-Trees
We present sequential and parallel algorithms for various embedding problems on bounded degree partial k-trees and k-connected partial k-trees these include subgraph isomorphism a...
Arvind Gupta, Naomi Nishimura