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» Distribution of Vertex Degree in Web-Graphs
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PODC
2010
ACM
13 years 11 months ago
Deterministic distributed vertex coloring in polylogarithmic time
Consider an n-vertex graph G = (V, E) of maximum degree ∆, and suppose that each vertex v ∈ V hosts a processor. The processors are allowed to communicate only with their neig...
Leonid Barenboim, Michael Elkin
SIAMDM
2010
114views more  SIAMDM 2010»
13 years 6 months ago
Rank-Based Attachment Leads to Power Law Graphs
Abstract. We investigate the degree distribution resulting from graph generation models based on rank-based attachment. In rank-based attachment, all vertices are ranked according ...
Jeannette Janssen, Pawel Pralat
IPPS
1999
IEEE
13 years 12 months ago
Sparse Hypercube: A Minimal k-Line Broadcast Graph
This paper proposes a method for reducing the maximum degree of vertices in graphs that maintain optimal broadcast time when a vertex can call a vertex at distance at most k durin...
Satoshi Fujita, Arthur M. Farley
DM
2008
127views more  DM 2008»
13 years 7 months ago
An adjacency lemma for critical multigraphs
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
David Cariolaro
KDD
2012
ACM
200views Data Mining» more  KDD 2012»
11 years 10 months ago
Vertex neighborhoods, low conductance cuts, and good seeds for local community methods
The communities of a social network are sets of vertices with more connections inside the set than outside. We theoretically demonstrate that two commonly observed properties of s...
David F. Gleich, C. Seshadhri