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IJCAI
2001
13 years 6 months ago
Search on High Degree Graphs
We show that nodes of high degree tend to occur infrequently in random graphs but frequently in a wide variety of graphs associated with real world search problems. We then study ...
Toby Walsh
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
13 years 4 months ago
Regular Spanning Subgraphs of Bipartite Graphs of High Minimum Degree
Let G be a simple balanced bipartite graph on 2n vertices, δ = δ(G)/n, and ρ0 = δ+ √ 2δ−1 2 . If δ ≥ 1/2 then G has a ρ0n -regular spanning subgraph. The statement is...
Béla Csaba
ICC
2007
IEEE
126views Communications» more  ICC 2007»
13 years 11 months ago
Probabilistic Search in P2P Networks with High Node Degree Variation
— A novel Adaptive Resource-based Probabilistic Search algorithm (ARPS) for P2P networks is proposed in this paper. ARPS introduces weighted probabilistic forwarding for query me...
Haoxiang Zhang, Lin Zhang, Xiuming Shan, Victor O....
CORR
2011
Springer
202views Education» more  CORR 2011»
12 years 12 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
SIAMCOMP
2011
12 years 7 months ago
An Expansion Tester for Bounded Degree Graphs
We consider the problem of testing graph expansion (either vertex or edge) in the bounded degree model [10]. We give a property tester that given a graph with degree bound d, an ex...
Satyen Kale, C. Seshadhri