Asymptotic properties of random graphs
Zbigniew Palka
- Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1988
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
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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