THE GIRTHS OF THE CUBIC PANCAKE GRAPHS Full article
| Journal |
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN)
ISSN: 0134-4889 , E-ISSN: 2658-4786 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2022, Volume: 28, Number: 2, Pages: 274-296 Pages count : 23 DOI: 10.21538/0134-4889-2022-28-2-274-296 | ||||
| Tags | cubic pancake graph; girth; Pancake graph; prefix-reversal | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (2)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
| 2 | Sobolev Institute of Mathematics | FWNF-2022-0017 |
Abstract:
The pancake graphs Pn, n ≥ 2, are Cayley graphs over the symmetric group Symngenerated by prefix-reversals. There are six generating sets of prefix-reversals of cardinality three which give connected Cayley graphs over the symmetric group known as cubic pancake graphs. In this paper we study the girth of the cubic pancake graphs. It is proved that considered cubic pancake graphs have the girths at most twelve. © Krasovskii Institute of Mathematics and Mechanics.All rights reserved.
Cite:
Konstantinova E.V.
, Gun S.E.
THE GIRTHS OF THE CUBIC PANCAKE GRAPHS
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2022. V.28. N2. P.274-296. DOI: 10.21538/0134-4889-2022-28-2-274-296 WOS Scopus РИНЦ OpenAlex
THE GIRTHS OF THE CUBIC PANCAKE GRAPHS
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2022. V.28. N2. P.274-296. DOI: 10.21538/0134-4889-2022-28-2-274-296 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Mar 1, 2022 |
| Accepted: | Mar 10, 2022 |
Identifiers:
| ≡ Web of science: | WOS:000905209900022 |
| ≡ Scopus: | 2-s2.0-85134798522 |
| ≡ Elibrary: | 48585967 |
| ≡ OpenAlex: | W4281634989 |