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math.CO2024
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…
math.CO2024
Open problems of the 32nd Workshop on Cycles and Colourings
János Barát, Stijn Cambie, Geňa Hahn +4
Since its beginnings, every Cycles and Colourings workshop holds one or two open problem sessions; this document contains the problems (together with notes regarding the current st…
math.CO2024★ 1 cited
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…