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020 ▼a 9780438296947
035 ▼a (MiAaPQ)AAI10827016
035 ▼a (MiAaPQ)uci:15132
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0820 ▼a 510
1001 ▼a Porter, Michael B.
24510 ▼a Extended Wenger Graphs.
260 ▼a [S.l.] : ▼b University of California, Irvine., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 88 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 ▼a Adviser: Daqing Wan.
5021 ▼a Thesis (Ph.D.)--University of California, Irvine, 2018.
520 ▼a Wenger graphs were originally introduced as examples of dense graphs that do not have cycles of a given size. Graphs with similar properties were known at the time, but Wenger graphs are based on algebraic relations in finite fields, and as such
520 ▼a Wenger graphs are bipartite, with the vertices consisting of two copies of the vector space of dimension m+1 over the finite field of order q. These two sets of vertices are called points and lines, with a point vertex connected to a line vertex
520 ▼a Since their introduction in 1991, the original Wenger graph concept has been extended to include linearized and jumped Wenger graphs, and some results are known for extensions in general. In this dissertation, another extension, the extended Wen
590 ▼a School code: 0030.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a University of California, Irvine. ▼b Mathematics - Ph.D..
7730 ▼t Dissertation Abstracts International ▼g 80-01B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0030
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998968 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자