1 citations · 1 across the 8 of their papers we have counts for
8 papers
Locally Irregular Total Colorings of Graphs
Anna Flaszczyńska, Aleksandra Gorzkowska, Igor Grzelec +2
A total graph is an ordered triple , where are the sets of empty and full vertices, respectively, , and the set of edges is…
Weak and strong local irregularity of digraphs
Igor Grzelec, Alfréd Onderko, Mariusz Woźniak
Local Irregularity Conjecture states that every simple connected graph, except special cacti, can be decomposed into at most three locally irregular graphs, i.e., graphs in which a…
On Local Irregularity Conjecture for 2-multigraphs
Igor Grzelec, Alfréd Onderko, Mariusz Woźniak
A multigraph in which adjacent vertices have different degrees is called locally irregular. The locally irregular edge coloring is an edge coloring of a multigraph in which eve…
On a new problem about the local irregularity of graphs
Igor Grzelec, Tomáš Madaras, Alfréd Onderko +1
A graph/multigraph is locally irregular if endvertices of every its edge possess different degrees. The locally irregular edge coloring of is its edge coloring with the pro…
On uniqueness of packing of three copies of 2-factors
Igor Grzelec, Tomáš Madaras, Alfréd Onderko
The packing of three copies of a graph is the union of three edge-disjoint copies (with the same vertex set) of . In this paper, we completely solve the problem of the uniqu…
A note on uniquely embeddable 2-factors
Igor Grzelec, Monika Pilśniak, Mariusz Woźniak
Let be a 2-factor i.e. a vertex-disjoint union of cycles. In this note we completely characterize those 2-factors that are uniquely em…
Local Irregularity Conjecture for 2-multigraphs versus cacti
Igor Grzelec, Mariusz Woźniak
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 such th…
On decomposing multigraphs into locally irregular submultigraphs
Igor Grzelec, Mariusz Woźniak
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 such that…