7 papers
On the -dimensional flow number of the Flower snarks
Davide Mattiolo, Jozef RajnÃk
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 the existence of factors intersecting sets of cycles in regular graphs
Jan Goedgebeur, Davide Mattiolo, Giuseppe Mazzuoccolo +3
A recent result by KardoÅ¡, MáÄajová and Zerafa [J. Comb. Theory, Ser. B. 160 (2023) 1--14] related to the famous Berge-Fulkerson conjecture implies that given an arbitrary set…
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 RajnÃk +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…
CLM's dependence relation, solitary patterns and -graphs
D. V. V. Narayana, D. Mattiolo, Kalyani Gohokar +1
A connected r-regular graph, where , is an r-graph if each odd cut has at least r edges. Every r-graph is matching covered - a connected graph whose each edge participate…
Open problems of the 32nd Workshop on Cycles and Colourings
János Barát, Stijn Cambie, GeÅa 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…