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Erdős-Ko-Rado theorems = algebraic ...
~
Godsil, C. D. (1949-)
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Erdős-Ko-Rado theorems = algebraic approaches /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Erdős-Ko-Rado theorems/ Chris Godsil, Karen Meagher.
其他題名:
algebraic approaches /
作者:
Godsil, C. D.
其他作者:
Meagher, Karen
出版者:
Cambridge :Cambridge University Press, : 2016.,
面頁冊數:
xvi, 335 p. :ill., digital ;24 cm.
附註:
Title from publisher's bibliographic system (viewed on 10 Dec 2015).
標題:
Intersection theory. -
電子資源:
https://doi.org/10.1017/CBO9781316414958
ISBN:
9781316414958
Erdős-Ko-Rado theorems = algebraic approaches /
Godsil, C. D.1949-
Erdős-Ko-Rado theorems
algebraic approaches /[electronic resource] :Chris Godsil, Karen Meagher. - Cambridge :Cambridge University Press,2016. - xvi, 335 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;149. - Cambridge studies in advanced mathematics ;149..
Title from publisher's bibliographic system (viewed on 10 Dec 2015).
Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of the Erdos-Ko-Rado Theorem, with a focus on algebraic methods. The authors begin by discussing well-known proofs of the EKR bound for intersecting families. The natural generalization of the EKR Theorem holds for many different objects that have a notion of intersection, and the bulk of this book focuses on algebraic proofs that can be applied to these different objects. The authors introduce tools commonly used in algebraic graph theory and show how these can be used to prove versions of the EKR Theorem. Topics include association schemes, strongly regular graphs, the Johnson scheme, the Hamming scheme and the Grassmann scheme. Readers can expand their understanding at every step with the 170 end-of-chapter exercises. The final chapter discusses in detail 15 open problems, each of which would make an interesting research project.
ISBN: 9781316414958Subjects--Topical Terms:
698418
Intersection theory.
LC Class. No.: QA564 / .G64 2016
Dewey Class. No.: 512
Erdős-Ko-Rado theorems = algebraic approaches /
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