# On Some Cycles in Wenger Graphs

@article{Wang2020OnSC, title={On Some Cycles in Wenger Graphs}, author={Ye Wang and F. Lazebnik and A. Thomason}, journal={Acta Mathematicae Applicatae Sinica, English Series}, year={2020}, volume={36}, pages={492-502} }

Let p be a prime, q be a power of p , and let F q be the field of q elements. For any positive integer n , the Wenger graph W n(q) is defined as follows: it is a bipartite graph with the vertex partitions being two copies of the ( n + 1)-dimensional vector space $$\mathbb{F}_q^{n+1}$$ F q n + 1 , and two vertices p = ( p (1),..., p ( n +1)) and l = [ l (1),..., l ( n +1)] being adjacent if p +1( i ) = p (1) l (1) i −1 , for all i = 2, 3, …, n + 1. In 2008, Shao, He and Shan showed that for n… Expand

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Extended Wenger Graphs

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- 2018

Author(s): Porter, Michael B. | Advisor(s): Wan, Daqing | Abstract: Wenger graphs were originally introduced as examples of dense graphs that do not have cycles of a given size. Graphs with similar… Expand

Graphs without theta subgraphs

- Mathematics, Computer Science
- J. Comb. Theory, Ser. B
- 2019

A lower bound of order n 5 / 4 is given on the greatest number of edges of any n-vertex θ 3 , 4 -free graph, matching an earlier upper bound by Faudree and Simonovits up to an absolute constant factor. Expand

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