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78
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IPL
2007
96views more  IPL 2007»
15 years 16 days ago
Fault diameter of product graphs
The (k − 1)-fault diameter Dk(G) of a k-connected graph G is the maximum diameter of an induced subgraph by deleting at most k − 1 vertices from G. This paper considers the fa...
Jun-Ming Xu, Chao Yang
87
Voted
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
15 years 15 days ago
Diameter and Treewidth in Minor-Closed Graph Families, Revisited
Eppstein [5] characterized the minor-closed graph families for which the treewidth is bounded by a function of the diameter, which includes e.g. planar graphs. This characterizatio...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
15 years 13 days ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol
100
Voted
DM
2008
81views more  DM 2008»
15 years 21 days ago
The diameter of protean graphs
Abstract. The web graph is a real-world self-organizing network whose vertices correspond to web pages, and whose edges correspond to links between pages. Many stochastic models fo...
Pawel Pralat
85
Voted
COMBINATORICS
1998
79views more  COMBINATORICS 1998»
15 years 9 days ago
A Note on Constructing Large Cayley Graphs of Given Degree and Diameter by Voltage Assignments
Voltage graphs are a powerful tool for constructing large graphs (called lifts) with prescribed properties as covering spaces of small base graphs. This makes them suitable for ap...
Ljiljana Brankovic, Mirka Miller, Ján Plesn...