語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
到查詢結果
[ subject:"Theoretical mathematics." ]
切換:
標籤
|
MARC模式
|
ISBD
Extensions of Classic Theorems in Ex...
~
Das, Shagnik.
Extensions of Classic Theorems in Extremal Combinatorics.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Extensions of Classic Theorems in Extremal Combinatorics.
作者:
Das, Shagnik.
面頁冊數:
152 p.
附註:
Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.
附註:
Adviser: Benjamin Sudakov.
Contained By:
Dissertation Abstracts International75-09B(E).
標題:
Mathematics.
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3622434
ISBN:
9781303941757
Extensions of Classic Theorems in Extremal Combinatorics.
Das, Shagnik.
Extensions of Classic Theorems in Extremal Combinatorics.
- 152 p.
Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.
Thesis (Ph.D.)--University of California, Los Angeles, 2014.
This item must not be sold to any third party vendors.
Extremal combinatorics deals with the following fundamental question: how large can a structure be without containing forbidden configurations? The structures studied are extremely flexible, allowing for a wide range of applications to diverse fields such as theoretical computer science, operations research, discrete geometry and number theory. Moreover, tools from probability theory, algebra and analysis have proven incredibly useful, spurring the development of new techniques in combinatorics. This synergy between different fields has led to incredible growth in recent decades, inspiring numerous directions for research.
ISBN: 9781303941757Subjects--Topical Terms:
184409
Mathematics.
Extensions of Classic Theorems in Extremal Combinatorics.
LDR
:02474nmm a2200301 4500
001
457658
005
20150805065216.5
008
150916s2014 ||||||||||||||||| ||eng d
020
$a
9781303941757
035
$a
(MiAaPQ)AAI3622434
035
$a
AAI3622434
040
$a
MiAaPQ
$c
MiAaPQ
100
1
$a
Das, Shagnik.
$3
708653
245
1 0
$a
Extensions of Classic Theorems in Extremal Combinatorics.
300
$a
152 p.
500
$a
Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.
500
$a
Adviser: Benjamin Sudakov.
502
$a
Thesis (Ph.D.)--University of California, Los Angeles, 2014.
506
$a
This item must not be sold to any third party vendors.
520
$a
Extremal combinatorics deals with the following fundamental question: how large can a structure be without containing forbidden configurations? The structures studied are extremely flexible, allowing for a wide range of applications to diverse fields such as theoretical computer science, operations research, discrete geometry and number theory. Moreover, tools from probability theory, algebra and analysis have proven incredibly useful, spurring the development of new techniques in combinatorics. This synergy between different fields has led to incredible growth in recent decades, inspiring numerous directions for research.
520
$a
In this dissertation, we present new extensions of classic theorems in extremal combinatorics, employing probabilistic and analytic arguments to solve problems connected to number theory and coding theory. In Chapter 2, we greatly improve the bounds for the rainbow Turan problem for even cycles, a problem merging the graph theoretic disciplines of Turan theory and graph colouring. In Chapter 3, we use the analytic method of flag algebras to study a variant of Turan's theorem proposed by Erdo&huml;s. We then shift to extremal set theory, and in Chapter 4 study the supersaturation problem for the Erdo&huml;s-Ko-Rado Theorem. In Chapter 5 we discuss a probabilistic measure of supersaturation for intersecting families, introduced recently by Katona, Katona and Katona. These problems represent the various fields within extremal combinatorics that the author has worked in.
590
$a
School code: 0031.
650
4
$a
Mathematics.
$3
184409
650
4
$a
Theoretical mathematics.
$3
708655
690
$a
0405
690
$a
0642
710
2
$a
University of California, Los Angeles.
$b
Mathematics 0540.
$3
708654
773
0
$t
Dissertation Abstracts International
$g
75-09B(E).
790
$a
0031
791
$a
Ph.D.
792
$a
2014
793
$a
English
856
4 0
$u
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3622434
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000108597
電子館藏
1圖書
學位論文
TH 2014
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3622434
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入