Next Article in Journal
Construction of Inequalities for Network Quantum Steering Detection
Previous Article in Journal
Fuzzy Signature from Computational Diffie–Hellman Assumption in the Standard Model
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Axioms
Volume 14
Issue 8
10.3390/axioms14080614
axioms-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Full Automorphism Group of (m,2)-Graph in Finite Classical Polar Spaces

by
Yang Zhang
1,
Shuxia Liu
2 and
Liwei Zeng
2,*
1
Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
2
School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China
*
Author to whom correspondence should be addressed.
Axioms 2025, 14(8), 614; https://doi.org/10.3390/axioms14080614 (registering DOI)
Submission received: 2 July 2025 / Revised: 31 July 2025 / Accepted: 4 August 2025 / Published: 6 August 2025
Versions Notes

Abstract

Let \( \mathcal{Q} \) be the finite classical polar space of rank \( \nu\geq 1 \) over \( \mathbb{F}_q \), and \( \mathcal{Q}_m \) be the set of all m-dimensional subspaces of \( \mathcal{Q} \). In this paper, we introduce the \( (m,2) \)-graph with \( \mathcal{Q}_m \) as its vertex set, and two vertices \(P,Q\) are adjacent if and only if \( P+Q \) is an \( (m+2) \)-dimensional subspace of \( \mathcal{Q} \). The full automorphism group of \( (m,2)\)-graph is determined.
Keywords: automorphism; polar space; (m,2)-graph; distance automorphism; polar space; (m,2)-graph; distance

Share and Cite

MDPI and ACS Style

Zhang, Y.; Liu, S.; Zeng, L. Full Automorphism Group of (m,2)-Graph in Finite Classical Polar Spaces. Axioms 2025, 14, 614. https://doi.org/10.3390/axioms14080614

AMA Style

Zhang Y, Liu S, Zeng L. Full Automorphism Group of (m,2)-Graph in Finite Classical Polar Spaces. Axioms. 2025; 14(8):614. https://doi.org/10.3390/axioms14080614

Chicago/Turabian Style

Zhang, Yang, Shuxia Liu, and Liwei Zeng. 2025. "Full Automorphism Group of (m,2)-Graph in Finite Classical Polar Spaces" Axioms 14, no. 8: 614. https://doi.org/10.3390/axioms14080614

APA Style

Zhang, Y., Liu, S., & Zeng, L. (2025). Full Automorphism Group of (m,2)-Graph in Finite Classical Polar Spaces. Axioms, 14(8), 614. https://doi.org/10.3390/axioms14080614

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop