Finite graphs of valency 4 and girth 4 admitting half-transitive group actions (original) (raw)

Finite edge-transitive oriented graphs of valency four: a global approach

Jehan Al-Bar

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Maps and half-transitive graphs of valency 4

Roman Nedela

European Journal of Combinatorics, 1998

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Tetravalent Graphs Admitting Half-Transitive Group Actions: Alternating Cycles

Cheryl Praeger

Journal of Combinatorial Theory, Series B, 1999

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Finite edge-transitive oriented graphs of valency four with cyclic normal quotients

Najat Muthana

Journal of Algebraic Combinatorics, 2017

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On 2-arc transitive graphs of girth 4

Cheryl Praeger

Journal of Combinatorial Theory, Series B, 1983

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Locally arc-transitive graphs of valence {3,4} with trivial edge kernel

Primož Potočnik

Journal of Algebraic Combinatorics, 2013

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Primitive permutation groups and a characterization of the odd graphs

Cheryl Praeger

Journal of Combinatorial Theory, Series B, 1981

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Finite Transitive Permutation Groups and Finite Vertex-Transitive Graphs, C E Praeger with assistance of C H Li and A C Niemeyer

Cheryl Praeger

… ASI Series C …, 1997

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Four-Valent Oriented Graphs of Biquasiprimitive Type

Cheryl Praeger

arXiv: Combinatorics, 2019

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Biquasiprimitive Oriented Graphs of Valency Four

Cheryl Praeger

2017 MATRIX Annals

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GRAPHS WHOSE AUTOMORPHISM GROUPS CONTAIN THE ALTERNATING GROUPS

GJESRM Journal

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On Sharply Edge-Transitive Permutation Groups

Michel Deza

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Remarks on Path-transitivity in Finite Graphs

Cheryl Praeger

European Journal of Combinatorics, 1996

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Odd automorphisms in vertex-transitive graphs

Klavdija Kutnar

Ars Mathematica Contemporanea

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Classification of half-arc-transitive graphs of order

Klavdija Kutnar

European Journal of Combinatorics, 2013

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On Factor-Invariant Graphs With Two Cycles

Brian Alspach

2021

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Smallest tetravalent half-arc-transitive graphs with the vertex-stabiliser isomorphic to the dihedral group of order 8

Rok Požar

2015

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Finite symmetric graphs with two-arc transitive quotients

Sanming Zhou, Cheryl Praeger

2005

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A class of finite symmetric graphs with 2-arc transitive quotients

Cheryl Praeger

Mathematical Proceedings of the Cambridge Philosophical Society, 2000

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Symmetric Graphs with 2-ARC Transitive Quotients

Sanming Zhou

Journal of the Australian Mathematical Society, 2014

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Basic tetravalent oriented graphs of independent-cycle type

Cheryl Praeger

Ars mathematica contemporanea, 2024

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Two-ended quasi-transitive graphs

Bobby Babak Miraftab

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Vertex-transitive digraphs with extra automorphisms that preserve the natural arc-colouring

Klavdija Kutnar

Australas. J Comb., 2017

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Orbits on vertices and edges of finite graphs

Dominique Buset

Discrete Mathematics, 1985

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GI-graphs: a new class of graphs with many symmetries

Mde Conder, Arjana Žitnik

Journal of Algebraic Combinatorics, 2013

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Graphs and Permutation Groups Whose Transitive Constituents Have Prime Degree

Brian Alspach

Annals of the New York Academy of Sciences, 1979

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Graphs on which a dihedral group acts edge-transitively

Robin Sanders

Discrete Mathematics, 1993

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A Construction for Vertex-Transitive Graphs

Brian Alspach

Canadian Journal of Mathematics, 1982

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A normal quotient analysis for some families of oriented four-valent graphs

Jehan Al-Bar

Ars Mathematica Contemporanea, 2017

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Tetravalent vertex-transitive graphs of order 6p6p6p

Mohsen Ghasemi

2022

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On Graphs Admitting Arc-Transitive Actions of Almost Simple Groups

Cheryl Praeger

Journal of Algebra, 1998

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An O'Nan-Scott theorem for finite quasiprimitive permutation groups and an application to 2-arc transitive graphs

Cheryl Praeger

Journal of the London Mathematical Society, 1993

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VERTEX-TRANSITIVE GRAPHS OF ORDER 2p

Brian Alspach

Annals of the New York Academy of Sciences, 1979

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Cubic edge-transitive graphs of order 4p2

Mehdi Alaeiyan

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Classification of vertex-transitive digraphs via automorphism group

Klavdija Kutnar

arXiv: Combinatorics, 2020

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