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Circuit k-covers of signed graphs

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 294 ()

Let G be a signed graph and F a set of signed circuits in G. For an edge e is an element of E(G), F(e) denotes the number of signed circuits in F that......

Edge-disjoint spanning trees and forests of graphs

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 299 ()

The spanning tree packing number of a graph G is the maximum number of edge-disjoint spanning trees in G, and the arboricity of G is the minimum numbe......

A sharp lower bound of the spectral radius with application to the energy of a graph

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 293 ()

The spectral radius rho(G) of a graph G is the largest eigenvalue of its adjacency matrix A(G). In this paper, we first give a sharp lower bound of th......

On the eccentric subtree number in trees

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 290 ()

Given a tree T and a vertex v in T, the number of subtrees of T containing v is denoted by eta(T) (v) and called the subtree number at v. Similarly, e......

Edge-fault-tolerant strong Menger edge connectivity of bubble-sort star graphs

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 297 ()

The connectivity and edge connectivity of interconnection network determine the fault tolerance of the network. An interconnection network is usually ......

List injective edge-coloring of subcubic graphs

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 302 ()

An edge-coloring of a graph G is injective if for any two distinct edges e(1) and e(2), the colors of e(1) and e(2) are distinct if they are at distan......

Vertex-disjoint stars in K-1,K-r-free graphs

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 302 ()

A graph G is said to be K-1,K-r-free if G does not contain an induced subgraph isomorphic to K-1,K-r. Let k, r, t be integers with k >= 2, r >= ......

Proper vertex-pancyclicity of edge-colored complete graphs without joint monochromatic triangles

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 294 ()

In an edge-colored graph (G, c), let d(c)(v) denote the number of colors on the edges incident with a vertex v of G and delta(c)(G) denote the minimum......

Proof of a conjecture on the strong chromatic index of Halin graphs

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 302 ()

A strong edge coloring of a graph G is an assignment of colors to the edges of G such that two distinct edges are colored differently if their distanc......

Comparing Wiener complexity with eccentric complexity

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 290 ()

The transmission of a vertex v of a graph G is the sum of distances from v to all the other vertices in G. The Wiener complexity of G is the number of......

Laplacian state transfer in edge complemented coronas

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 293 ()

In this paper, we investigate the existence of Laplacian perfect state transfer and Laplacian pretty good state transfer in edge complemented coronas.......

Gallai-Ramsey numbers for multiple triangles

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 298 ()

A Gallai coloring of a complete graph is an edge-coloring such that no triangle has all its edges colored differently. A Gallai k-coloring is a Gallai......

Gallai and l-uniform Ramsey numbers of complete bipartite graphs

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 301 ()

A Gallai coloring of a complete graph is a coloring of the edges without rainbow triangles (all edges colored differently). Given a graph H and a posi......

Unrooted non-binary tree-based phylogenetic networks

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 294 ()

Phylogenetic networks are a generalization of phylogenetic trees allowing for the representation of non-treelike evolutionary events such as hybridiza......

Disproofs of two conjectures on no hole anti-n-labeling of graphs

期刊: DISCRETE APPLIED MATHEMATICS, 2021; 300 ()

In this note, we disprove two conjectures on no hole anti-n-labeling of graphs proposed by Guan et al. (2019), and characterize a graph G with lambda(......

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