Extremal values of energy over oriented bicyclic graphs

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摘要

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.

论文关键词：Trace norm,Energy of graphs,Bicyclic graphs,Orientations of graphs,Extremal values

论文评审过程：Received 23 June 2018, Revised 22 August 2018, Accepted 9 September 2018, Available online 28 September 2018, Version of Record 28 September 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.09.018