Asymptotic properties of random graphs

Zbigniew Palka

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1988

Abstract

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CONTENTS1. Introduction...........................................................................5  1.1. Purpose and scope..........................................................5  1.2. Probability-theoretic preliminaries....................................6  1.3. Graphs............................................................................11  1.4. Random graphs..............................................................132. Vertex-degrees....................................................................15  2.1. A general approach........................................................15  2.2. Model K(n,p)...................................................................18  2.3. Extreme degrees and global properties of K(n,p)...........42  2.4. Other models..................................................................483. Induced subgraphs..............................................................68  3.1. Greedy algorithm............................................................68  3.2. Complete subgraphs......................................................71  3.3. Bipartite complete subgraphs.........................................80  3.4. Trees..............................................................................86References............................................................................102Symbols.................................................................................105Appendix: Updated notes.......................................................106

How to cite

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Zbigniew Palka. Asymptotic properties of random graphs. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1988. <http://eudml.org/doc/268638>.

@book{ZbigniewPalka1988,
author = {Zbigniew Palka},
keywords = {random graphs; degree sequence; extremal degrees; subgraphs},
language = {fre},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Asymptotic properties of random graphs},
url = {http://eudml.org/doc/268638},
year = {1988},
}

TY - BOOK
AU - Zbigniew Palka
TI - Asymptotic properties of random graphs
PY - 1988
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
LA - fre
KW - random graphs; degree sequence; extremal degrees; subgraphs
UR - http://eudml.org/doc/268638
ER -

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