45 citations · 106 across the 8 of their papers we have counts for
9 papers
On harmonic centers of graphs
Tomáš Madaras, Matúš Paralič
The harmonic centrality of a vertex in a graph is the sum of reciprocals of distances of vertices of from . The vertices of which have the maximum (minim…
Betweenness centers of graphs
Tomáš Madaras, Matúš Paralič
The betweenness centrality of a vertex in a graph is the sum of the relative numbers of shortest paths of that pass through . The vertices of which have…
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…
On uniqueness of packing of three copies of 2-factors
Igor Grzelec, Tomáš Madaras, Alfréd Onderko
The packing of three copies of a graph is the union of three edge-disjoint copies (with the same vertex set) of . In this paper, we completely solve the problem of the uniqu…
Long Cycles and Spanning Subgraphs of Locally Maximal 1-planar Graphs
Igor Fabrici, Jochen Harant, Tomáš Madaras +3
A graph is -planar if it has a drawing in the plane such that each edge is crossed at most once by another edge. Moreover, if this drawing has the additional property that for e…
Isothermal Entropy Change and Adiabatic Change of Temperature of the Antiferromagnetic Spin-1/2 Ising Octahedron and Dodecahedron
K. Karlova, J. Strecka, T. Madaras
The spin-1/2 Ising octahedron and dodecahedron with a unique antiferromagnetic interaction display an outstanding magnetization jump at zero magnetic field, which consequently lead…
The Schottky-type specific heat as an indicator of relative degeneracy between ground and first-excited states: the case study of regular Ising polyhedra
Katarina Karlova, Jozef Strecka, Tomas Madaras
The specific heat of regular Ising polyhedra is investigated in detail as a function of temperature and magnetic field. It is shown that the regular Ising polyhedra display diverse…
Giant magnetocaloric effect, magnetization plateaux and jumps of the regular Ising polyhedra
Jozef Strecka, Katarina Karlova, Tomas Madaras
Magnetization process and adiabatic demagnetization of the antiferromagnetic Ising spin clusters with the shape of regular polyhedra (Platonic solids) are exactly examined within t…
Joins of 1-planar graphs
Július Czap, Dávid Hudák, Tomáš Madaras
A graph is called 1-planar if there exists its drawing in the plane such that each edge is crossed at most once. In this paper, we study 1-planar graph joins. We prove that the joi…