Half-arc-transitive graphs and the fano plane

Mačaj, Martin (avtor), Šparl, Primož (avtor)

Given a bipartite cubic graph with a certain degree of symmetry two covering constructions that provide infinitely many tetravalent graphs admitting half-arc-transitive groups of automorphisms are introduced. Symmetry properties of constructed graphs are investigated. In the second part of the paper the two constructions are applied to the Heawood graph, the well-known incidence graph of the Fano plane.

• Jezik: Slovenski jezik
• Ključne besede: matematika
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta
• Različica publikacije: Recenzirani rokopis
• Založnik: Tokyo: Springer Japan
• Leto izida: 2021
• Št. strani: 987-1012
• Številčenje: 37
• PID: 20.500.12556/RUL-128564
• ISSN: 1435-5914
• COBISS.SI-ID: 67311619
• Datum objave v RUL: 16.08.2021

Sekundarni jezik

• Jezik: Angleški jezik
• Ključne besede: half-arc-transitive