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» Diameter bounds for planar graphs
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ARSCOM
2005
98views more  ARSCOM 2005»
14 years 11 months ago
Supereulerian planar graphs
We investigate the supereulerian graph problems within planar graphs, and we prove that if a 2-edge-connected planar graph G is at most three edges short of having two edge-disjoi...
Hong-Jian Lai, Deying Li, Jingzhong Mao, Mingquan ...
CORR
2011
Springer
202views Education» more  CORR 2011»
14 years 6 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
65
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EJC
2006
14 years 11 months ago
Improving diameter bounds for distance-regular graphs
In this paper we study the sequence (ci)0id for a distance-regular graph. In particular we show that if d 2j and cj = c > 1 then c2j > c holds. Using this we give improveme...
Sejeong Bang, Akira Hiraki, Jacobus H. Koolen
JEA
2008
64views more  JEA 2008»
14 years 11 months ago
Fast computation of empirically tight bounds for the diameter of massive graphs
Clémence Magnien, Matthieu Latapy, Michel H...
JMIV
2006
78views more  JMIV 2006»
14 years 11 months ago
Shape Estimation from Support and Diameter Functions
We address the problem of reconstructing a planar shape from a finite number of noisy measurements of its support function or its diameter function. New linear and non-linear algor...
Amyn Poonawala, Peyman Milanfar, Richard J. Gardne...