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On the -dimensional flow number of the Flower snarks
Davide Mattiolo, Jozef Rajník
Let be a real number, a positive integer. A -dimensional nowhere-zero -flow, or -NZF, on a graph is an orientation of together with a function $f\…
On removable edge subsets in graphs with a nowhere-zero -flow
Davide Mattiolo
A set of a graph is -removable if has a nowhere-zero -flow. We prove that every graph admitting a nowhere-zero -flow has a -removable su…
Geometric description of -dimensional flows of a graph
Davide Mattiolo, Giuseppe Mazzuoccolo, Jozef Rajník +1
A -dimensional nowhere-zero -flow on a graph , an -NZF from now on, is a flow where the value on each edge is an element of whose (Euclidean) norm li…
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…
On the existence of factors intersecting sets of cycles in regular graphs
Jan Goedgebeur, Davide Mattiolo, Giuseppe Mazzuoccolo +3
A recent result by Kardoš, Máčajová and Zerafa [J. Comb. Theory, Ser. B. 160 (2023) 1--14] related to the famous Berge-Fulkerson conjecture implies that given an arbitrary set of o…
Solitude patterns of -graphs via CLM's dependence relation
D. V. V. Narayana, D. Mattiolo, Kalyani Gohokar +1
Recently, Goedgebeur, Mazzuoccolo, Renders, Wolf and the second author [Cubic graphs with edges in exactly one perfect matching, J. Graph Theory 112 (2026), 276-289] proved that ev…