Orthogonal Inner Product Graphs over Finite Fields of Odd Characteristic
Let Fq be a finite field of odd characteristic and 2ν+δ≥2 be an integer with δ=0,1, or 2. The orthogonal inner product graph Oi2ν+δ,q over Fq is defined, and a class of subgroup of the automorphism groups of Oi2ν+δ,q is determined. We show that Oi2ν+δ,q is a disconnected graph if 2ν+δ=2; otherwise,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/6811540 |
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| Summary: | Let Fq be a finite field of odd characteristic and 2ν+δ≥2 be an integer with δ=0,1, or 2. The orthogonal inner product graph Oi2ν+δ,q over Fq is defined, and a class of subgroup of the automorphism groups of Oi2ν+δ,q is determined. We show that Oi2ν+δ,q is a disconnected graph if 2ν+δ=2; otherwise, it is not. Moreover, we give necessary and sufficient conditions for two vertices and two edges of Oi2ν+δ,q, respectively, which are in the same orbit under the action of a subgroup of the automorphism group of Oi2ν+δ,q. |
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| ISSN: | 2314-4785 |