3 papers
math.CO2024
Combinatorial spectra using polynomials
Sylwia Cichacz, Martin Dzúrik
In this paper we would like to introduce some new methods for studying magic type-colorings of graphs or domination of graphs, based on combinatorial spectrum on polynomial rings.…
math.CO2023
Combinatorial spectra of graphs
Martin Dzúrik
In this article we are introducing combinatorial spectra of graphs, this is a generalization of -Hamiltonian spectra. The main motivation was to made from -Hamiltonian spectr…
math.CO2020
An upper bound of a generalized upper Hamiltonian number of a graph
Martin Dzúrik
In this article we study graphs with ordering of vertices, we define a generalization called a pseudoordering, and for a graph we define the -Hamiltonian number of a graph $…