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Title:
The palette index of some Cartesian products of graphs
Authors:
ID
Vesel, Aleksander
(
Author
)
Files:
RAZ_Vesel_Aleksander_2026.pdf
(352,53 KB)
MD5: B3DFC75E0F6D7862C8DF4DDB77D9C6CA
https://www.dmgt.uz.zgora.pl/publish/article.php?doi=2594
Language:
English
Work type:
Scientific work
Typology:
1.01 - Original Scientific Article
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
The palette of a vertex v in a graph ▫$G$▫ is the set of colors assigned to the edges incident to ▫$v$▫. The palette index of ▫$G$▫ is the minimum number of distinct palettes among the vertices, taken over all proper edge colorings of ▫$G$▫. This paper presents results on the palette index of the Cartesian product ▫$G \Box H$▫, where one of the factor graphs is a path or a cycle. Additionally, it provides exact results and bounds on the palette index of the Cartesian product of two graphs, where one factor graph is isomorphic to a regular or class ▫$1$▫ nearly regular graph.
Keywords:
palette index
,
Cartesian product
,
regular graphs
Publication status:
Published
Publication version:
Version of Record
Article acceptance date:
10.06.2025
Publication date:
24.07.2025
Place of publishing:
Zielona Góra
Publisher:
Technical University Press
Year of publishing:
2026
Number of pages:
str. 119-134
Numbering:
Letn. 46, št. 1
PID:
20.500.12556/DKUM-96539
UDC:
519.17
ISSN on article:
1234-3099
COBISS.SI-ID:
248322819
DOI:
10.7151/dmgt.2594
Publication date in DKUM:
07.05.2026
Views:
153
Downloads:
2
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Discussiones mathematicae. Graph theory
Shortened title:
Discuss. Math., Graph Theory
Publisher:
Technical University Press
ISSN:
1234-3099
COBISS.SI-ID:
7487065
Document is financed by a project
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0297
Name:
Teorija grafov
Licences
License:
CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:
The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:
24.07.2025
Secondary language
Language:
Slovenian
Keywords:
teorija grafov
,
paletni indeks
,
kartezični produkt
,
regularni grafi
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