Paths of specified length in random k-partite graphs

Fix positive integers k and l. Consider a random k-partite graph on n vertices obtained by partitioning the vertex set into V_i, (i=1, \ldots,k) each having size Ω (n) and choosing each possible edge with probability p. Consider any vertex x in any V_i and any vertex y. We show that the expected num...

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Bibliographic Details
Main Author: C.R. Subramanian
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2001-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/286/pdf