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» Distribution of Vertex Degree in Web-Graphs
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PODC
2010
ACM
15 years 8 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»
15 years 2 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
15 years 8 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»
15 years 4 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
185
Voted
KDD
2012
ACM
200views Data Mining» more  KDD 2012»
13 years 7 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