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Asymptotic Turan number for linear 5-cycle in 3-uniform linear hypergraphs

期刊: DISCRETE MATHEMATICS, 2023; 346 (1)

An r-uniform hypergraph is linear if every two edges intersect in at most one vertex. Given a family of r-uniform hypergraphs F, the linear Turan numb......

Game chromatic number of strong product graphs

期刊: DISCRETE MATHEMATICS, 2023; 346 (1)

The graph coloring game is a two-player game in which the two players properly color an uncolored vertex of G alternately. The first player wins the g......

Monohedral tilings of a convex disc with a smooth boundary

期刊: DISCRETE MATHEMATICS, 2023; 346 (1)

In this paper we give a complete description about normal monohedral tilings of a convex disc with smooth boundary where we have at most three topolog......

A note on the Three Color Problem on planar graphs without 4-and 5-cycles and without ext-triangular 7-cycles

期刊: DISCRETE MATHEMATICS, 2023; 346 (1)

Steinberg conjectured in 1976 that every planar graph with no cycles of length four or five is 3-colorable. This conjecture is disproved by constructi......

A new lower bound on the optimal pebbling number of the grid

期刊: DISCRETE MATHEMATICS, 2023; 346 (1)

A pebbling move on a graph consists of removing 2 pebbles from a vertex and adding 1 pebble to one of the neighbouring vertices. A vertex is called re......

A characterization of the family of secant lines to a hyperbolic quadric in PG(3, q), q odd, Part II

期刊: DISCRETE MATHEMATICS, 2023; 346 (3)

In [9], two of us classified line sets in PG(3, q), q odd, that satisfy a certain list of properties. It was shown there that if q >= 7, then each ......

Optimal connectivity for fat-triangle linkages

期刊: DISCRETE MATHEMATICS, 2023; 346 (5)

For a multigraph H, a graph G is H-linked if every injective mapping phi : V (H) -> V (G) can be extended to an H-subdivision in G. We study the mi......

Diameter, edge-connectivity, and C4-freeness

期刊: DISCRETE MATHEMATICS, 2023; 346 (5)

Improving a recent result of Fundikwa, Mazorodze, and Mukwembi, we show that d <= (2n-3)/5 for every connected C4-free graph of order n, diameter d......

New lower bounds for the Turan density of PGm(q)

期刊: DISCRETE MATHEMATICS, 2023; 346 (6)

Let H be an r-uniform hypergraph. The Turan number ex(n, H) is the maximum number of edges in an n-vertex H-free r-uniform hypergraph. The Turan densi......

Nowhere-zero flows on tensor products of signed graphs

期刊: DISCRETE MATHEMATICS, 2023; 346 (7)

Let G1 and G2 be two signed connected graphs with delta (G1) >= 2 and |E(G2)| >= 2. In this paper, we prove that the tensor product of two such ......

The maximum Aα-spectral radius of t-connected graphs with bounded matching number

期刊: DISCRETE MATHEMATICS, 2023; 346 (7)

For a graph G, let A(G) be its adjacency matrix and let D(G) be the diagonal matrix of its vertex degrees. For alpha is an element of[0, 1], Nikiforov......

A characterization of optimal locally repairable codes

期刊: DISCRETE MATHEMATICS, 2023; 346 (7)

It is significant to investigate locally repairable codes (LRCs) since they have abundant applications to distributed storage systems. A locally repai......

Symmetric bi-Cayley graphs on nonabelian simple groups with prime valency

期刊: DISCRETE MATHEMATICS, 2023; 346 (7)

Yin et al. (2021) [19] classified connected arc-transitive Cayley graphs on nonabelian simple groups with prime valency p >= 11 and solvable vertex......

Multivalued matrices and forbidden configurations

期刊: DISCRETE MATHEMATICS, 2023; 346 (9)

An r-matrix is a matrix with symbols in {0, 1,...,r - 1}. A matrix is simple if it has no repeated columns. Let Fbe a finite set of r-matrices. Let fo......

Dimensions of nonbinary antiprimitive BCH codes and some conjectures

期刊: DISCRETE MATHEMATICS, 2023; 346 (9)

Bose-Chaudhuri-Hocquenghem (BCH) codes have been intensively investigated. Even so, there is only a little known about primitive BCH codes, let alone ......

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