Extremal values of energy over oriented bicyclic graphs

Juan Monsalve, Juan Rada and Yongtang Shi

Applied Mathematics and Computation, 2019, vol. 342, issue C, 26-34

Abstract: Graph energy can be extended to digraphs via the trace norm. The trace norm of a digraph is the trace norm of its adjacency matrix, i.e. the sum of its singular values. In this work we find the oriented graphs that attain minimal and maximal trace norm over the set of oriented bicyclic graphs.

Keywords: Trace norm; Energy of graphs; Bicyclic graphs; Orientations of graphs; Extremal values (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:342:y:2019:i:c:p:26-34

DOI: 10.1016/j.amc.2018.09.018

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