Výsledky vyhledávání - "Yang, Jieshan"

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The Minimal Total Irregularity of Graphs

Autor: Zhu, Yingxue, You, Lihua, Yang, Jieshan

In \cite{2012a}, Abdo and Dimitov defined the total irregularity of a graph $G=(V,E)$ as \hskip3.3cm $\rm irr_{t}$$(G) = \frac{1}{2}\sum_{u,v\in V}|d_{G}(u)-d_{G}(v)|, $ \noindent where $d_{G}(u)$ denotes the vertex degree of a vertex $u\in V$. In th

Externí odkaz: http://arxiv.org/abs/1404.0931

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Notes on the sum of powers of the signless Laplacian eigenvalues of graphs

Autor: You, Lihua, Yang, Jieshan

For a graph $G$ and a non-zero real number $\alpha$, the graph invariant $S_{\alpha}(G)$ is the sum of the $\alpha^{th}$ power of the non-zero signless Laplacian eigenvalues of $G$. In this paper, we obtain the sharp bounds of $S_{\alpha}(G)$ for a c

Externí odkaz: http://arxiv.org/abs/1306.1386

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On a conjecture for the signless Laplacian eigenvalues

Autor: You, Lihua, Yang, Jieshan

Let $G$ be a simple graph with $n$ vertices and $e(G)$ edges, and $q_1(G)\geq q_2(G)\geq\cdots\geq q_n(G)\geq0$ be the signless Laplacian eigenvalues of $G.$ Let $S_k^+(G)=\sum_{i=1}^{k}q_i(G),$ where $k=1, 2, \ldots, n.$ F. Ashraf et al. conjectured

Externí odkaz: http://arxiv.org/abs/1306.0093

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