The iterated line graphs of Cayley graphs associated to a commutative ring
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519.17+512.5 (2)
Analiză combinatorică. Teoria grafurilor (115)
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AFKHAMI, Mojgan, BARATI, Zahra. The iterated line graphs of Cayley graphs associated to a commutative ring. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 1(41), pp. 1-14. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 1(41) / 2019 / ISSN 1561-2848

The iterated line graphs of Cayley graphs associated to a commutative ring

CZU: 519.17+512.5
MSC 2010: 05C25, 05C50, 13C15

Pag. 1-14

Afkhami Mojgan1, Barati Zahra2
 
1 Department of Mathematics, University of Neyshabur,
2 Department of Computer Science, Kosar University of Bojnord
 
 
Disponibil în IBN: 24 august 2019


Rezumat

We study the planar and outerplanar indices of Cayley graphs associated to a commutative ring, and we give a full characterization of these graphs with respect to their planar and outerplanar indices when R is a nite ring.

Cuvinte-cheie
Cayley graph, iterated line graph, planar index, outerplanar index