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» The diameter of protean graphs
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IROS
2006
IEEE
104views Robotics» more  IROS 2006»
15 years 5 months ago
Coverage Diameters of Polygons
— This paper formalizes and proposes an algorithm to compute coverage diameters of polygons in 2D. Roughly speaking, the coverage diameter of a polygon is the longest possible di...
Pawin Vongmasa, Attawith Sudsang
DAM
2000
78views more  DAM 2000»
14 years 11 months ago
Maximal cubic graphs with diameter 4
We prove that there is no cubic graph with diameter 4 on 40 vertices. This implies that the maximal number of vertices of a (3,4)-graph is 38. ? 2000 Elsevier Science B.V. All rig...
Dominique Buset
IM
2006
14 years 11 months ago
Protean Graphs
We propose a new random model of web graphs in which the degree of a vertex depends on its age. We characterize the degree sequence of this model and study its behaviour near the c...
Tomasz Luczak, Pawel Pralat
IM
2007
14 years 11 months ago
Growing Protean Graphs
Abstract. The web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to ano...
Pawel Pralat, Nicholas C. Wormald
DM
2002
104views more  DM 2002»
14 years 11 months ago
Graphs induced by Gray codes
We disprove a conjecture of Bultena and Ruskey [1], that all trees which are cyclic graphs of cyclic Gray codes have diameter 2 or 4, by producing codes whose cyclic graphs are tre...
Elizabeth L. Wilmer, Michael D. Ernst