Closure and stable hamiltonian properties in claw-free graphs

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F00%3A00054167" target="_blank" >RIV/49777513:23520/00:00054167 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Closure and stable hamiltonian properties in claw-free graphs

Original language description

In the class of k-connected claw-free graphs, we study the stability of some hamiltonian properties under a closure operation introduced by the third author. We prove that (i) the properties of pancyclicity, vertax pancyclicity and cycle extendability are not stable for any k, (ii) traceability is a stable property even for k=1, (iii) homogeneous traceability is not stable for k=2 (although it is stable for k=7). The paper is concluded with several open questions concerning stability of homegeneous traceability and hamiltonian connectedness.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F97%2F0407" target="_blank" >GA201/97/0407: Global properties of locally characterized classes of graphs</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2000

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Graph Theory

ISSN

03649024

e-ISSN

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Volume of the periodical

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Issue of the periodical within the volume

č. 1

Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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