- Tytuł:
- On the Laplacian Coefficients of Tricyclic Graphs with Prescribed Matching Number
- Autorzy:
-
Luo, Jing
Zhu, Zhongxun
Wan, Runze - Powiązania:
- https://bibliotekanauki.pl/articles/31341799.pdf
- Data publikacji:
- 2017-08-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Laplacian characteristic polynomial
Laplacian-like energy
tricyclic graph - Opis:
- Let $ \phi (L(G)) = \text{det}(x I−L(G)) = \Sigma_{k=0}^n (−1)^k c_k (G) x^{n−k} $ be the Laplacian characteristic polynomial of $G$. In this paper, we characterize the minimal graphs with the minimum Laplacian coefficients in $ \mathcal{G}_{n,n+2} (i) $ (the set of all tricyclic graphs with fixed order $n$ and matching number $i$). Furthermore, the graphs with the minimal Laplacian-like energy, which is the sum of square roots of all roots on $ \phi (L(G)) $, is also determined in $ \mathcal{G}_{n,n+2} (i) $.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2017, 37, 3; 505-522
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł