The matching energy of a graph

Authors:
Ivan Gutman;Stephan Wagner
Affiliations:
Faculty of Science, University of Kragujevac, P.O. Box 60, 34000 Kragujevac, Serbia;Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, Matieland 7602, South Africa
Venue:
Discrete Applied Mathematics
Year:
2012

Citing 2
Cited 1

On the ordering of graphs with respect to their matching numbers

Discrete Applied Mathematics
Regular Article: Maximal Energy Graphs

Advances in Applied Mathematics

Note: The matching energy of graphs with given parameters

Discrete Applied Mathematics

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Abstract

The energy of a graph G is equal to the sum of the absolute values of the eigenvalues of G. We define the matching energy (ME) of the graph G as the sum of the absolute values of the zeros of the matching polynomial of G, and determine its basic properties. It is pointed out that the chemical applications of ME go back to the 1970s.