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On Perfect Colorings of Paths Divisible by a Matching Full article

Journal Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797
Output data Year: 2022, Volume: 16, Number: 1, Pages: 98-104 Pages count : 7 DOI: 10.1134/S1990478922010094
Tags equitable partition; infinite path graph; lexicographic product; matching; perfect coloring
Authors Lisitsyna M.A. 1 , Avgustinovich S.V. 2
Affiliations
1 Budyonny Military Academy of the Signal Corps, St. Petersburg, 194064, Russian Federation
2 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

Funding (1)

1 Sobolev Institute of Mathematics 0314-2019-0016

Abstract: Abstract: A vertex coloring of a graph G is said to be perfect if the color structure of the neighborhood of each vertexdepends only on the color of the vertex. We give a complete characterization of perfect coloringswith an arbitrary number of colors for the lexicographic product of an infinite path graph by amatching. © 2022, Pleiades Publishing, Ltd.
Cite: Lisitsyna M.A. , Avgustinovich S.V.
On Perfect Colorings of Paths Divisible by a Matching
Journal of Applied and Industrial Mathematics. 2022. V.16. N1. P.98-104. DOI: 10.1134/S1990478922010094 Scopus РИНЦ OpenAlex
Original: Лисицына М.А. , Августинович С.В.
О совершенных раскрасках цепей, кратных паросочетанию
Дискретный анализ и исследование операций. 2022. Т.29. №1. С.33-45. DOI: 10.33048/daio.2022.29.718 РИНЦ OpenAlex
Identifiers:
Scopus: 2-s2.0-85134222539
Elibrary: 51414600
OpenAlex: W4285410659
Citing:
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