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» Degree sequence and supereulerian graphs
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RSA
2010
108views more  RSA 2010»
13 years 5 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge
FOCS
2006
IEEE
14 years 1 months ago
Minimum Bounded Degree Spanning Trees
We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...
Michel X. Goemans
COMPGEOM
2010
ACM
14 years 15 days ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
DM
2008
94views more  DM 2008»
13 years 7 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros
SODA
2008
ACM
82views Algorithms» more  SODA 2008»
13 years 8 months ago
On properties of random dissections and triangulations
In the past decades the Gn,p model of random graphs, introduced by Erdos and R
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...