| LDR | | 02356nmm uu200433 4500 |
| 001 | | 000000333098 |
| 005 | | 20240805172204 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438065420 |
| 035 | |
▼a (MiAaPQ)AAI10790687 |
| 035 | |
▼a (MiAaPQ)unc:17868 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 310 |
| 100 | 1 |
▼a Chakraborty, Suman. |
| 245 | 10 |
▼a Dense Graph Limits and Applications. |
| 260 | |
▼a [S.l.] :
▼b The University of North Carolina at Chapel Hill.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 170 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B. |
| 500 | |
▼a Advisers: Shankar Bhamidi |
| 502 | 1 |
▼a Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2018. |
| 520 | |
▼a In recent years, there has been a growing need to understand large networks and to devise effective strategies to analyze them. In this dissertation, our main objectives are to understand various structural properties of large networks under sui |
| 520 | |
▼a In the first part of this dissertation, we investigate properties of large networks that satisfy certain local conditions. In particular, we show that if the number of neighbors of each vertex and co-neighbors of each pair of vertices satises ce |
| 520 | |
▼a In the second part of this dissertation, we study models of weighted exponential random graphs in the large network limit. These models have recently been proposed to model weighted network data arising from a host of applications including soci |
| 520 | |
▼a Finally, we study site percolation on a class of non-regular graphs satisfying some mild assumptions on the number of neighbors of each vertex and co-neighbors of each pair of vertices. We show that there is a sharp phase transition (in site per |
| 590 | |
▼a School code: 0153. |
| 650 | 4 |
▼a Statistics. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0463 |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a The University of North Carolina at Chapel Hill.
▼b Statistics and Operations Research. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-10B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0153 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14997597
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |