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Volume 38, Issue 2
On Jumped Wenger Graphs

Li-Ping Wang, Daqing Wan, Weiqiong Wang & Haiyan Zhou

Commun. Math. Res., 38 (2022), pp. 319-332.

Published online: 2022-02

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  • Abstract

We introduce a new infinite class of bipartite graphs, called jumped Wenger graphs, which has a similar structure with Wenger graphs. We give a tight upper bound of the diameter for these graphs and the exact diameter for some special graphs. We also determine the girth of the jumped Wenger graphs.

  • AMS Subject Headings

05C

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COPYRIGHT: © Global Science Press

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@Article{CMR-38-319, author = {Wang , Li-PingWan , DaqingWang , Weiqiong and Zhou , Haiyan}, title = {On Jumped Wenger Graphs}, journal = {Communications in Mathematical Research }, year = {2022}, volume = {38}, number = {2}, pages = {319--332}, abstract = {

We introduce a new infinite class of bipartite graphs, called jumped Wenger graphs, which has a similar structure with Wenger graphs. We give a tight upper bound of the diameter for these graphs and the exact diameter for some special graphs. We also determine the girth of the jumped Wenger graphs.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0078}, url = {http://global-sci.org/intro/article_detail/cmr/20274.html} }
TY - JOUR T1 - On Jumped Wenger Graphs AU - Wang , Li-Ping AU - Wan , Daqing AU - Wang , Weiqiong AU - Zhou , Haiyan JO - Communications in Mathematical Research VL - 2 SP - 319 EP - 332 PY - 2022 DA - 2022/02 SN - 38 DO - http://doi.org/10.4208/cmr.2021-0078 UR - https://global-sci.org/intro/article_detail/cmr/20274.html KW - Wenger graphs, diameter, girth, algebraic graph theory. AB -

We introduce a new infinite class of bipartite graphs, called jumped Wenger graphs, which has a similar structure with Wenger graphs. We give a tight upper bound of the diameter for these graphs and the exact diameter for some special graphs. We also determine the girth of the jumped Wenger graphs.

Li-Ping Wang, Daqing Wan, Weiqiong Wang & Haiyan Zhou. (2022). On Jumped Wenger Graphs. Communications in Mathematical Research . 38 (2). 319-332. doi:10.4208/cmr.2021-0078
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