Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorSpencer, Joel. author
TitleThe Strange Logic of Random Graphs [electronic resource] / by Joel Spencer
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001
Connect tohttp://dx.doi.org/10.1007/978-3-662-04538-1
Descript X, 168 p. online resource

SUMMARY

The study of random graphs was begun by Paul Erdos and Alfred Renyi in the 1960s and now has a comprehensive literature. A compelling element has been the threshold function, a short range in which events rapidly move from almost certainly false to almost certainly true. This book now joins the study of random graphs (and other random discrete objects) with mathematical logic. The possible threshold phenomena are studied for all statements expressible in a given language. Often there is a zero-one law, that every statement holds with probability near zero or near one. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures. The book will be of interest to graduate students and researchers in discrete mathematics


CONTENT

I. Beginnings -- 0. Two Starting Examples -- 1. Preliminaries -- 2. The Ehrenfeucht Game -- II. Random Graphs -- 3. Very Sparse Graphs -- 4. The Combinatorics of Rooted Graphs -- 5. The Janson Inequality -- 6. The Main Theorem -- 7. Countable Models -- 8. Near Rational Powers of n -- III. Extras -- 9. A Dynamic View -- 10. Strings -- 11. Stronger Logics -- 12. Three Final Examples


Mathematics Computers Computer science -- Mathematics Discrete mathematics Combinatorics Mathematics Discrete Mathematics Combinatorics Theory of Computation Mathematics of Computing



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram