Antipodal covers of distance-transitive generalized polygons

M. R. Alfuraidan; J. I. Hall; A. Laradji

doi:10.1007/s10801-017-0807-x

Antipodal covers of distance-transitive generalized polygons

M. R. Alfuraidan
, J. I. Hall^*
, A. Laradji

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In an earlier paper, the first two authors found all distance-regular antipodal covers of all known primitive distance-transitive graphs of diameter at least 3 with one possible exception. That remaining case is resolved here with the proof that a primitive and distance-transitive collinearity graph of a finite generalized 2d-gon with d≥ 3 has no distance-regular antipodal cover of diameter 2d.

Original language	English
Pages (from-to)	607-626
Number of pages	20
Journal	Journal of Algebraic Combinatorics
Volume	48
Issue number	4
DOIs	https://doi.org/10.1007/s10801-017-0807-x
State	Published - 1 Dec 2018

Bibliographical note

Publisher Copyright:
© 2017, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Distance-regular graphs
Distance-transitive graphs
Generalized polygons

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

Access to Document

10.1007/s10801-017-0807-x

Cite this

@article{46a2bac901e94985933ec6cc70bf1404,

title = "Antipodal covers of distance-transitive generalized polygons",

abstract = "In an earlier paper, the first two authors found all distance-regular antipodal covers of all known primitive distance-transitive graphs of diameter at least 3 with one possible exception. That remaining case is resolved here with the proof that a primitive and distance-transitive collinearity graph of a finite generalized 2d-gon with d≥ 3 has no distance-regular antipodal cover of diameter 2d.",

keywords = "Distance-regular graphs, Distance-transitive graphs, Generalized polygons",

author = "Alfuraidan, \{M. R.\} and Hall, \{J. I.\} and A. Laradji",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2018",

month = dec,

day = "1",

doi = "10.1007/s10801-017-0807-x",

language = "English",

volume = "48",

pages = "607--626",

journal = "Journal of Algebraic Combinatorics",

issn = "0925-9899",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - Antipodal covers of distance-transitive generalized polygons

AU - Alfuraidan, M. R.

AU - Hall, J. I.

AU - Laradji, A.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - In an earlier paper, the first two authors found all distance-regular antipodal covers of all known primitive distance-transitive graphs of diameter at least 3 with one possible exception. That remaining case is resolved here with the proof that a primitive and distance-transitive collinearity graph of a finite generalized 2d-gon with d≥ 3 has no distance-regular antipodal cover of diameter 2d.

AB - In an earlier paper, the first two authors found all distance-regular antipodal covers of all known primitive distance-transitive graphs of diameter at least 3 with one possible exception. That remaining case is resolved here with the proof that a primitive and distance-transitive collinearity graph of a finite generalized 2d-gon with d≥ 3 has no distance-regular antipodal cover of diameter 2d.

KW - Distance-regular graphs

KW - Distance-transitive graphs

KW - Generalized polygons

UR - https://www.scopus.com/pages/publications/85039075329

U2 - 10.1007/s10801-017-0807-x

DO - 10.1007/s10801-017-0807-x

M3 - Article

AN - SCOPUS:85039075329

SN - 0925-9899

VL - 48

SP - 607

EP - 626

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 4

ER -

Antipodal covers of distance-transitive generalized polygons

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this