University of Illinois Urbana-Champaign

Topics in Stochastic Combinatorial Optimization and Extremal Graph Theory

Kaul, Hemanshu

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Description

Title
Topics in Stochastic Combinatorial Optimization and Extremal Graph Theory
Author(s)
Kaul, Hemanshu
Issue Date
2006
Doctoral Committee Chair(s)
  • Jacobson, Sheldon H.
  • West, Douglas B.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
We consider a random geometric graph, G(n, r ), constructed by placing points randomly in a square S n of area n according to a Poisson process of intensity 1, and adding an edge joining any pair of points at most distance r=r(n) apart according to the ℓinfinity -metric. We show that w.h.p. this random geometric graph contains a Hamiltonian cycle if it is 2-connected.
Graduation Semester
2006
Type of Resource
text
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http://hdl.handle.net/2142/86869

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