Asymptotic properties of random graphs

Palka, Zbigniew

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Asymptotic properties of random graphs

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Zbigniew Palka

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Rozprawy Matematyczne tom/nr w serii: 275 wydano: 1988

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CONTENTS
1. Introduction...........................................................................5
  1.1. Purpose and scope..........................................................5
  1.2. Probability-theoretic preliminaries....................................6
  1.3. Graphs............................................................................11
  1.4. Random graphs..............................................................13
2. 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..................................................................48
3. Induced subgraphs..............................................................68
  3.1. Greedy algorithm............................................................68
  3.2. Complete subgraphs......................................................71
  3.3. Bipartite complete subgraphs.........................................80
  3.4. Trees..............................................................................86
References............................................................................102
Symbols.................................................................................105
Appendix: Updated notes.......................................................106

Słowa kluczowe

Tematy

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 275

Liczba stron

109

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CCLXXV

Daty

wydano

1988

Twórcy

autor

Zbigniew Palka

Institute of Mathematics, Adam Mickiewicz University, Matejki 48/49, Poznań, Poland

Bibliografia

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Asymptotic properties of random graphs

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