中文摘要：

有向图G^σ的斜能量Es（G^σ）定义为G^σ的斜邻接矩阵特征值的绝对值之和．令H2n,m是顶点个数为2n，边数为m，具有完美匹配且不含偶圈的图的集合．得到了H2n,m中具有最小斜能量的图，其中2n≤m≤3n-2．

英文摘要：

The skew energy Es（G^σ） of an oriented graph G^σ is defined as the sum of the absolute eigenvalues of the skew adjacency matrix for G^σ. Let 7-12n,m be the set of graphs having perfect matchings without even cycles, where 2n and m are the numbers of the vertices and the edges of the graphs, respectively. As 2n ≤ m≤ 3n - 2, the graph with the minimal skew energy in H2n,m is deduced.