On energy ordering of vertex-disjoint bicyclic sidigraphs

S. Hafeez, R. Farooq
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Abstract

The energy and iota energy of signed digraphs are respectively defined as the sum of absolute values of real parts and sum of absolute values of imaginary parts of its eigenvalues. Recently, Yang and Wang (2018) find the energy and iota energy ordering of digraphs in D(n) and compute the maximal energy and iota energy, where D(n) denotes the set of vertex-disjoint bicyclic digraphs of a fixed order n. In this paper, we investigate the energy ordering of signed digraphs in D(n,s) and finds the maximal energy, where D(n,s) denotes the set of vertex-disjoint bicyclic sidigraphs of a fixed order n.
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顶点不相交双环边图的能量排序
有符号有向图的能量和iota能量分别定义为其特征值的实部绝对值和虚部绝对值和。最近,Yang和Wang(2018)找到了D(n)中有向图的能量和iota能量排序,并计算了最大能量和iota能量,其中D(n,s)表示固定n阶的顶点不相交的双环有向图的集合。本文研究了D(n,s)中有符号有向图的能量排序,并找到了最大能量,其中D(n,s)表示固定n阶的顶点不相交的双环边图的集合。
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