کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4600084 | 1336834 | 2013 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the integral weighted oriented unicyclic graphs with minimum skew energy
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we investigate the minimal skew energies of integral weighted unicyclic oriented graphs, showing that the underlying graph of the oriented graph with minimum skew energy among all graphs over U(n,m)(n⩾6) is Sn,3, the graph obtained from a triangle by attaching n-3 pendent edges in exactly one of its vertices. Moreover, we show that its weight sequence has form(w1,a,a,â¦,a︷k,a+1,a+1,â¦,a+1︷n-3-k,w2,w3)in which the arc lying on the cycle C3 and incident to no pendent arcs has weight w1, and the two largest weights correspond the other two arcs of C3, where positive integer numbers w1,w2,w3,a and k satisfy 1⩽w1⩽a,a+1⩽w2⩽w3⩽a+w1 and m=w1+ka+(n-k-3)(a+1)+w2+w3. In addition, we determine the weight sequence above for n⩽m⩽3n-1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 439, Issue 1, 1 July 2013, Pages 262-272
Journal: Linear Algebra and its Applications - Volume 439, Issue 1, 1 July 2013, Pages 262-272
نویسندگان
Shi-Cai Gong, Yao-Ping Hou, Ching-Wah Woo, Guang-Hui Xu, Xiao-Ling Shen,