id: 06053092 dt: j an: 06053092 au: Cheng, Bo; Liu, Bolian; Liu, Jianxi ti: On the spectral moments of unicyclic graphs with fixed diameter. so: Linear Algebra Appl. 437, No. 4, 1123-1131 (2012). py: 2012 pu: Elsevier Science Inc. (North-Holland), New York, NY la: EN cc: ut: spectral moment; diameter; unicyclic graph ci: li: doi:10.1016/j.laa.2012.04.014 ab: Summary: Unicyclic graphs are connected graphs in which the number of edges equals the number of vertices. Let $U_{n,d}$ be the class of unicyclic graphs of order $n$ and diameter $d$. For unicyclic graphs, lexicographic ordering by spectral moments ($S$-order) is discussed in this paper. The last $d+\lfloor \frac{d}{2}\rfloor$ graphs, in the $S$-order, among all unicyclic graphs in $U_{n,d}$ ($3\leq d\leq n-5$) are characterized. In addition, for the cases $d=n-4$ and $d=n-3$, the last $2n-11$ and last $n+\lfloor \frac{n}{2}\rfloor$ unicyclic graphs in the set $U_{n,d}$ are also given, respectively. rv: