Hamilton-Connected Mycielski Graphs∗

Yuanyuan Shen, Xinhui An, Baoyindureng Wu and Zuonong Zhu

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-7

Abstract: Jarnicki, Myrvold, Saltzman, and Wagon conjectured that if G is Hamilton-connected and not K2, then its Mycielski graph μG is Hamilton-connected. In this paper, we confirm that the conjecture is true for three families of graphs: the graphs G with δG>VG/2, generalized Petersen graphs GPn,2 and GPn,3, and the cubes G3. In addition, if G is pancyclic, then μG is pancyclic.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ddns/2021/3376981.pdf (application/pdf)
http://downloads.hindawi.com/journals/ddns/2021/3376981.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:3376981

DOI: 10.1155/2021/3376981

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().