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1. New Results on the Minimum Edge Dominating Energy of a Graph.

Author

Movahedi, F. and Akhbari, M. H.

Subjects
*FIXED point theory, *MATHEMATICS, *GRAPHIC methods, *EIGENVALUES, *MATRIX inequalities
Abstract

Let G be a graph with n vertices and m edges. The minimum edge dominating energy is defined as the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of the graph G. In this paper, some lower and upper bounds for the minimum edge dominating energy of graph G are established. [ABSTRACT FROM AUTHOR]

Published
2022

2. Some Fixed Point Results for F -- G--Contraction in F--Metric Spaces Endowed With a Graph.

Author

Faraji, H. and Radenović, S.

Subjects
*FIXED point theory, *MATHEMATICS, *GRAPHIC methods, *MATHEMATICS theorems, *METRIC spaces, *METRIC geometry
Abstract

In this paper, we introduce the concept of F--G--contraction mappings in F-metric spaces endowed with a graph and give some fixed point results for such contractions. Our results are generalization of some famous theorem in metric spaces to F--metric spaces endowed with a graph. Also, we give some examples that support obtained theoretical results. [ABSTRACT FROM AUTHOR]

Published
2022