Arc-transitive digraphs of given out-valency and with blocks of given size

Luke Morgan; Primož Potočnik; Gabriel Verret

doi:10.1016/j.jctb.2018.12.009

Arc-transitive digraphs of given out-valency and with blocks of given size

Luke Morgan, Primož Potočnik, Gabriel Verret

Mathematics and Statistics

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

Abstract

Given integers k and m, we construct a G-arc-transitive graph of valency k and an L-arc-transitive oriented digraph of out-valency k such that G and L both admit blocks of imprimitivity of size m.

Original language	English
Pages (from-to)	118-125
Number of pages	8
Journal	Journal of Combinatorial Theory. Series B
Volume	137
DOIs	https://doi.org/10.1016/j.jctb.2018.12.009
Publication status	Published - 1 Jul 2019

Access to Document

10.1016/j.jctb.2018.12.009

https://arxiv.org/pdf/1710.04797.pdf

Cite this

@article{94858872cd504ff7b70c900dd190988b,

title = "Arc-transitive digraphs of given out-valency and with blocks of given size",

abstract = "Given integers k and m, we construct a G-arc-transitive graph of valency k and an L-arc-transitive oriented digraph of out-valency k such that G and L both admit blocks of imprimitivity of size m.",

keywords = "Arc-transitive digraphs, Cayley digraphs, Imprimitive digraphs",

author = "Luke Morgan and Primo{\v z} Poto{\v c}nik and Gabriel Verret",

year = "2019",

month = jul,

day = "1",

doi = "10.1016/j.jctb.2018.12.009",

language = "English",

volume = "137",

pages = "118--125",

journal = "Journal of combinatorial Theory Series B",

issn = "0095-8956",

publisher = "Academic Press",

}

TY - JOUR

T1 - Arc-transitive digraphs of given out-valency and with blocks of given size

AU - Morgan, Luke

AU - Potočnik, Primož

AU - Verret, Gabriel

PY - 2019/7/1

Y1 - 2019/7/1

N2 - Given integers k and m, we construct a G-arc-transitive graph of valency k and an L-arc-transitive oriented digraph of out-valency k such that G and L both admit blocks of imprimitivity of size m.

AB - Given integers k and m, we construct a G-arc-transitive graph of valency k and an L-arc-transitive oriented digraph of out-valency k such that G and L both admit blocks of imprimitivity of size m.

KW - Arc-transitive digraphs

KW - Cayley digraphs

KW - Imprimitive digraphs

UR - http://www.scopus.com/inward/record.url?scp=85059786313&partnerID=8YFLogxK

U2 - 10.1016/j.jctb.2018.12.009

DO - 10.1016/j.jctb.2018.12.009

M3 - Article

AN - SCOPUS:85059786313

VL - 137

SP - 118

EP - 125

JO - Journal of combinatorial Theory Series B

JF - Journal of combinatorial Theory Series B

SN - 0095-8956

ER -

Arc-transitive digraphs of given out-valency and with blocks of given size

Abstract

Access to Document

Other files and links

Fingerprint

Structure theory for permutation groups and local graph theory conjectures

Cite this

Arc-transitive digraphs of given out-valency and with blocks of given size

Abstract

Access to Document

Other files and links

Fingerprint

Projects

Structure theory for permutation groups and local graph theory conjectures

Cite this