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pro vyhledávání: '"Grzelec, Igor"'
A graph/multigraph $G$ is locally irregular if endvertices of every its edge possess different degrees. The locally irregular edge coloring of $G$ is its edge coloring with the property that every color induces a locally irregular sub(multi)graph of
Externí odkaz:
http://arxiv.org/abs/2405.13893
The packing of three copies of a graph $G$ is the union of three edge-disjoint copies (with the same vertex set) of $G$. In this paper, we completely solve the problem of the uniqueness of packing of three copies of 2-regular graphs. In particular, w
Externí odkaz:
http://arxiv.org/abs/2403.11721
Let $C_{n_1}\cup C_{n_2}\cup \ldots \cup C_{n_k}$ be a 2-factor i.e. a vertex-disjoint union of cycles. In this note we completely characterize those 2-factors that are uniquely embeddeble in their complement.
Comment: 16 pages, 12 figures
Comment: 16 pages, 12 figures
Externí odkaz:
http://arxiv.org/abs/2304.12915
Autor:
Grzelec, Igor, Woźniak, Mariusz
A multigraph is locally irregular if the degrees of the end-vertices of every multiedge are distinct. The locally irregular coloring is an edge coloring of a multigraph $G$ such that every color induces a locally irregular submultigraph of $G$. A loc
Externí odkaz:
http://arxiv.org/abs/2211.08270
Autor:
Grzelec, Igor, Woźniak, Mariusz
A locally irregular multigraph is a multigraph whose adjacent vertices have distinct degrees. The locally irregular edge coloring is an edge coloring of a multigraph $G$ such that every color induces a locally irregular submultigraph of $G$. We say t
Externí odkaz:
http://arxiv.org/abs/2208.08809
Publikováno v:
In Applied Mathematics and Computation 1 May 2024 468
Autor:
Grzelec, Igor, Woźniak, Mariusz
Publikováno v:
In Applied Mathematics and Computation 1 September 2023 452
Autor:
Grzelec, Igor1 grzelec@agh.edu.pl, Woźniak, Mariusz1 mwozniak@agh.edu.pl
Publikováno v:
Opuscula Mathematica. 2024, Vol. 44 Issue 1, p49-65. 17p.