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Št. zadetkov: 2
Optimal bounds for zero-sum cycles. I. Odd order
Rutger Campbell, J. Pascal Gollin, Kevin Hendrey, Raphael Steiner
Izvirni znanstveni članek
Oznake: Zero-sum Ramsey theory;directed cycles;Zero-sum cycles;
For a finite (not necessarily abelian) group Γ, let n(Γ) denote the smallest positive integer $n$ such that for each labelling of the arcs of the complete digraph of order n using elements from Γ, there exists a directed cycle such that the arc-labels along the cycle multiply to the identity. Alon a ...
Leto: 2025 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
Clustered colouring of graph products
Rutger Campbell, J. Pascal Gollin, Kevin Hendrey, Thomas Lesgourgues, Bojan Mohar, Youri Tamitegama, Jane Tan, David Richard Wood
Izvirni znanstveni članek
Oznake: graph products;colouring;clustering;
A colouring of a graph ▫$G$▫ has clustering ▫$k$▫ if the maximum number of vertices in a monochromatic component equals ▫$k$▫. Motivated by recent results showing that many natural graph classes are subgraphs of the strong product of a graph with bounded treewidth and a path, this paper studies clus ...
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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