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Author: Fan Chung
Publisher: CRC Press
Published: 2020-08-26
Total Pages: 155
ISBN-13: 100010866X
DOWNLOAD EBOOKThis book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996.
Author: Fan Chung
Publisher: CRC Press
Published: 2020-08-26
Total Pages: 248
ISBN-13: 1000151816
DOWNLOAD EBOOKThis book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996.
Author: Fan Chung
Publisher: CRC Press
Published: 1998-01-01
Total Pages: 142
ISBN-13: 1439863873
DOWNLOAD EBOOKThis book is a tribute to Paul Erd\H{o}s, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines -- within the context of his unique personality and lifestyle -- the legacy of open problems he left to the world after his death in 1996. Unwilling to succumb to the temptat
Author: Rick Durrett
Publisher: Cambridge University Press
Published: 2010-05-31
Total Pages: 203
ISBN-13: 1139460889
DOWNLOAD EBOOKThe theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in 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 inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.
Author: Alan Frieze
Publisher: Cambridge University Press
Published: 2016
Total Pages: 483
ISBN-13: 1107118506
DOWNLOAD EBOOKThe text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.
Author: Ronald L. Graham
Publisher: Springer
Published: 2013-06-06
Total Pages: 584
ISBN-13: 9781489995339
DOWNLOAD EBOOKAuthor: Vašek Chvátal
Publisher: Cambridge University Press
Published: 2021-08-26
Total Pages: 270
ISBN-13: 1108934919
DOWNLOAD EBOOKPaul Erdős published more papers during his lifetime than any other mathematician, especially in discrete mathematics. He had a nose for beautiful, simply-stated problems with solutions that have far-reaching consequences across mathematics. This captivating book, written for students, provides an easy-to-understand introduction to discrete mathematics by presenting questions that intrigued Erdős, along with his brilliant ways of working toward their answers. It includes young Erdős's proof of Bertrand's postulate, the Erdős-Szekeres Happy End Theorem, De Bruijn-Erdős theorem, Erdős-Rado delta-systems, Erdős-Ko-Rado theorem, Erdős-Stone theorem, the Erdős-Rényi-Sós Friendship Theorem, Erdős-Rényi random graphs, the Chvátal-Erdős theorem on Hamilton cycles, and other results of Erdős, as well as results related to his work, such as Ramsey's theorem or Deza's theorem on weak delta-systems. Its appendix covers topics normally missing from introductory courses. Filled with personal anecdotes about Erdős, this book offers a behind-the-scenes look at interactions with the legendary collaborator.
Author: University College, London. Department of Mathematics
Publisher:
Published: 1967
Total Pages: 132
ISBN-13:
DOWNLOAD EBOOKAuthor: Joel Spencer
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 167
ISBN-13: 3662045389
DOWNLOAD EBOOKThe study of random graphs was begun in the 1960s and now has a comprehensive literature. This excellent book by one of the top researchers in the field now joins the study of random graphs (and other random discrete objects) with mathematical logic. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures.
Author: Gary Chartrand
Publisher: Courier Corporation
Published: 2012-04-30
Total Pages: 322
ISBN-13: 0486134946
DOWNLOAD EBOOKClear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical models, games and puzzles, more.
