Results 1 to 10 of about 51 (50)
A Finite Characterization and Recognition of Intersection Graphs of Hypergraphs with Rank at Most 3 and Multiplicity at Most 2 in the Class of Threshold Graphs [PDF]
Discussiones Mathematicae Graph Theory, 2017 We characterize the class L32$L_3^2 $ of intersection graphs of hypergraphs with rank at most 3 and multiplicity at most 2 by means of a finite list of forbidden induced subgraphs in the class of threshold graphs.
Metelsky Yury +2 more
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Representing Split Graphs by Words
Discussiones Mathematicae Graph Theory, 2022 There is a long line of research in the literature dedicated to word-representable graphs, which generalize several important classes of graphs. However, not much is known about word-representability of split graphs, another important class of graphs.
Chen Herman Z.Q. +2 more
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The Crossing Number of Hexagonal Graph H3,n in the Projective Plane
Discussiones Mathematicae Graph Theory, 2022 Thomassen described all (except finitely many) regular tilings of the torus S1 and the Klein bottle N2 into (3,6)-tilings, (4,4)-tilings and (6,3)-tilings.
Wang Jing +3 more
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Intersection Dimension and Graph Invariants
Discussiones Mathematicae Graph Theory, 2021 We show that the intersection dimension of graphs with respect to several hereditary properties can be bounded as a function of the maximum degree. As an interesting special case, we show that the circular dimension of a graph with maximum degree Δ is at
Aravind N.R., Subramanian C.R.
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Covering the Edges of a Random Hypergraph by Cliques
Discussiones Mathematicae Graph Theory, 2022 We determine the order of magnitude of the minimum clique cover of the edges of a binomial, r-uniform, random hypergraph G(r)(n, p), p fixed. In doing so, we combine the ideas from the proofs of the graph case (r = 2) in Frieze and Reed [Covering the ...
Rödl Vojtěch, Ruciński Andrzej
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A Spectral Characterization of the S-Clique Extension of the Triangular Graphs
Discussiones Mathematicae Graph Theory, 2020 A regular graph is co-edge regular if there exists a constant µ such that any two distinct and non-adjacent vertices have exactly µ common neighbors. In this paper, we show that for integers s ≥ 2 and n large enough, any co-edge-regular graph which is ...
Tan Ying-Ying +2 more
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Minimal Graphs with Respect to Geometric Distance Realizability
Discussiones Mathematicae Graph Theory, 2021 A graph G is minimal non-unit-distance graph if there is no drawing of G in Euclidean plane having all edges of unit length, but, for each edge e of G, G − e has such a drawing.
Madaras Tomáš, Široczki Pavol
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Graphs of Linear Growth have Bounded Treewidth
, 2023 A graph class G has linear growth if, for each graph G ∈ G and every positive integer r, every subgraph of G with radius at most r contains O(r) vertices. In this paper, we show that every graph class with linear growth has bounded treewidth. Mathematics
David Wood +12 more
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On the 12-Representability of Induced Subgraphs of a Grid Graph
Discussiones Mathematicae Graph Theory, 2022 The notion of a 12-representable graph was introduced by Jones, Kitaev, Pyatkin and Remmel in [Representing graphs via pattern avoiding words, Electron. J. Combin. 22 (2015) #P2.53].
Chen Joanna N., Kitaev Sergey
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Mathematics Subject Classification interrater agreement dataset
, 2022 The Mathematics Subject Classification organizes Publications, Software, and Research Data into a hierarchical classification scheme maintained by MathSciNet (mr) and zbMATH Open (zbmath). According to the classification scheme, both organizations mr and
Olaf Teschke +2 more
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