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LncRNA-Protein Interaction Prediction Based on Regularized Nonnegative Matrix Factorization and Sequence Information

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 85 (3)

lncRNA affects the expression of nearby protein-coding genes and interfaces with related RNA binding proteins to exert functions. It is necessary to d......

Lanzhou Index of Trees with Fixed Maximum Degree

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (1)

Let G be a finite and simple graph with vertex set V(G). The Lanzhou index is defined as: Lz(G) = Sigma(u is an element of V(G)) d((G) over bar)(u)d(G......

On Distance-Based Graph Invariants

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (2)

Let G be a simple connected graph of order n with m edges and diameter d. Let W, WW, H, and RCW be the Wiener index, hyper-Wiener index, Harary index,......

A Survey on the Wiener Polarity Index

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (2)

The Wiener polarity index W-p(G) of a graph G, proposed by Wiener in 1947, is the number of unordered pairs of vertices {u, v} of G such that the dist......

Edge Deletion, Singular Values and ABC Energy of Graphs

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (3)

Let A be the ABC matrix of graph G. The A-energy E-A(G) is the sum of absolute values of the eigenvalues of matrix A. In this paper, we are interested......

Energy, Randic Index and Maximum Degree of Graphs

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (3)

The energy E(G) of a graph G is the sum of the absolute values of all the eigenvalues of its adjacency matrix A(G). For a graph G with Randic index R(......

A Note on Chemical Trees with Maximal Inverse Sum Indeg Index

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (1)

Let G be a simple graph with vertex set V(G) and edge set E(G). The inverse sum indeg index of G is defined as ISI(G) = Sigma(uv is an element of E(G)......

The Conjecture About the Comparison for Resolvent Energies of Cycles and Stars

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (3)

The resolvent energy of a graph G of order n is defined as ER(G) = Sigma(n)(i=1)(n - lambda(i))(-1), where lambda(1,) lambda(2), ..., lambda(n) are th......

On the Reduced Sombor Index and Its Applications

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (3)

Based on elementary geometry, a novel vertex-degree-based molecular structure descriptor was recently introduced by Gutman in the chemical graph theor......

On Sombor Index of Graphs

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (3)

Recently, Gutman defined a new vertex-degree-based graph invariant, named the Sombor index SO of a graph G, and is defined by SO(G) = Sigma(uv is an e......

Relation Between the Gutman Index of a Tree and Matchings

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (1)

Gutman (J Chem Inf Comput Sci, 34 (1994) 1087-1089) defined the Gutman index of a graph G with vertex set V(G) as Gut(G) = Sigma({u,v}subset of V(G)) ......

The Steiner Wiener Index of Trees with Given Bipartition

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (2)

The Wiener index W(G) of a connected graph G is defined as W(G) = Sigma({u, v} is an element of V(G)) d(G)(u, v), where d(G)(u,v) is the distance betw......

Extremal Cover Cost and Reverse Cover Cost of Trees

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (2)

For a connected graph G = (V-G, E-G), the cover cost and the reverse cover cost of a vertex v in G are, respectively, defined as CCG(v) = Sigma(u is a......

Steiner Distance in Chemical Graph Theory

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (2)

Steiner distance d(G)(S) is a natural generalization of the concept of distance in a graph. For a connected graph G of order at least 2 and S subset o......

Two Graph Transformations and Their Applications to Matching Theory of Graphs

期刊: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021; 86 (3)

In this note we study the behavior of largest matching root, Hosoya index and matching energy under two graph structural transformations. As an applic......

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