Minecraft Adventures B2G1 Free
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Visit our stores


    Recently Viewed clear list


    Interviews | August 12, 2015

    Jill Owens: IMG Eli Gottlieb: The Powells.com Interview



    Eli GottliebEli Gottlieb has done something unusual — he's written two novels, 20 years apart, from opposing but connected perspectives. The Boy Who Went... Continue »
    1. $17.47 Sale Hardcover add to wish list

      Best Boy

      Eli Gottlieb 9781631490477

    spacer
Qualifying orders ship free.
$104.25
New Hardcover
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
2 Remote Warehouse Mathematics- General

This title in other editions

Cambridge Series in Statistical and Probabilistic Mathematic #20: Random Graph Dynamics

by

Cambridge Series in Statistical and Probabilistic Mathematic #20: Random Graph Dynamics Cover

 

Synopses & Reviews

Publisher Comments:

The notion of six degrees of separation - that any two people on the planet can be connected by a short chain of people - inspired Strogatz and Watts to define the small world random graph, where each site is connected to close neighbours, but also has long range connections. At about the same time, it was observed in human social networks and on the internet that the number of neighbours of an individual has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers led to an explosion of research, but much was nonrigorous and relied on simulations. This book uses mathematical arguments to obtain insights into these graphs. A unique feature of this book is the interest in the dynamics of process taking place on the graphs in addition to their geometric properties, like correctness and diameter.

Synopsis:

This book presents a wide-ranging variety of mathematical argument to give insights into the small world model, the preferential attachment model and related random graphs. A unique feature is the focus on the dynamics of process taking place on the graphs in addition to geometric properties such as correctness and diameter.

Synopsis:

The notion of six degrees of separation, meaning that any two people can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph. At about the same time, Barabasi and Albert defined the preferential attachment model-based on the properties of human social and sexual networks and on the internet, that the number of neighbors of an individual or computer has a power law distribution. This book presents a wide-ranging variety of mathematical arguments to give insights into these random graphs.

Synopsis:

A wide-ranging, rigorous look at properties of small world, preferential attachment, and related random graphs.

About the Author

Rick Durrett is Professor of Mathematics at Cornell University. He received his Ph.D. in Operations Research from Stanford in 1976. After nine years at UCLA, he moved to Cornell, where his research turned to applications of probability to ecology and, more recently, genetics. He has written more than 150 papers, six other books, and has 33 academic descendants.

Table of Contents

1. Overview; 2. Erdos-Renyi random graphs; 3. Fixed degree distributions; 4. Power laws; 5. Small worlds; 6. Random walks; 7. CHKNS model.

Product Details

ISBN:
9780521866569
Author:
Durrett, Rick
Publisher:
Cambridge University Press
Editor:
Gill, R.
Author:
Durrett, Richard
Location:
Cambridge
Subject:
Graphic Methods
Subject:
Probability
Subject:
Random graphs.
Subject:
Discrete Mathematics
Subject:
Mathematics - General
Series:
Cambridge Series in Statistical and Probabilistic Mathematic
Series Volume:
20
Publication Date:
20061031
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Y
Pages:
222
Dimensions:
10.00x7.00x1.00 in. 1.00 lbs.

Other books you might like

  1. Cambridge Texts in Applied... New Trade Paper $56.95
  2. The Traveling Salesman Problem: A... New Hardcover $112.25
  3. Putting Auction Theory to Work... New Trade Paper $56.95

Related Subjects

Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Combinatorics
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Physics » General

Cambridge Series in Statistical and Probabilistic Mathematic #20: Random Graph Dynamics New Hardcover
0 stars - 0 reviews
$104.25 In Stock
Product details 222 pages Cambridge University Press - English 9780521866569 Reviews:
"Synopsis" by , This book presents a wide-ranging variety of mathematical argument to give insights into the small world model, the preferential attachment model and related random graphs. A unique feature is the focus on the dynamics of process taking place on the graphs in addition to geometric properties such as correctness and diameter.
"Synopsis" by , The notion of six degrees of separation, meaning that any two people can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph. At about the same time, Barabasi and Albert defined the preferential attachment model-based on the properties of human social and sexual networks and on the internet, that the number of neighbors of an individual or computer has a power law distribution. This book presents a wide-ranging variety of mathematical arguments to give insights into these random graphs.
"Synopsis" by , A wide-ranging, rigorous look at properties of small world, preferential attachment, and related random graphs.
spacer
spacer
  • back to top

FOLLOW US ON...

       
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.