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New bounds on distance Estrada index of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 خرداد 1403 اصل مقاله (386.18 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29488.2022 | ||
| نویسنده | ||
| Mohammad Reza Oboudi* | ||
| Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71457-44776, Iran | ||
| چکیده | ||
| For a connected graph $G$ with vertex set $\{v_1,\ldots,v_n\}$, the distance matrix of $G$, denoted by $D(G)$, is an $n\times n$ matrix with zero main diagonal, such that its $(i,j)$-entry is $d(v_i,v_j)$, where $i\neq j$ and $d(v_i,v_j)$ is the distance between $v_i$ and $v_j$. Let $\theta_1,\ldots,\theta_n$ be the eigenvalues of $D(G)$. The distance Estrada index of $G$ is defined as $DEE(G)=\sum_{i=1}^ne^{\theta_i}$. In this paper we find some new sharp bounds for the distance Estrada index of graphs. Our results improve the previous bounds on the distance Estrada index of graphs. | ||
| کلیدواژه‌ها | ||
| Distance؛ Estrada index؛ Bounds | ||
| مراجع | ||
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[9] M.R. Oboudi, Distance spectral radius of complete multipartite graphs and majorization, Linear Algebra Appl. 583 (2019), 134–145. https://doi.org/10.1016/j.laa.2019.08.021 [10] M.R. Oboudi, A new lower bound for the energy of graphs, Linear Algebra Appl. 580 (2019), 384–395. https://doi.org/10.1016/j.laa.2019.06.026 [11] M.R. Oboudi, A relation between the signless Laplacian spectral radius of complete multipartite graphs and majorization, Linear Algebra Appl. 565 (2019), 225–238. https://doi.org/10.1016/j.laa.2018.12.012 [12] M.R. Oboudi, On the Seidel Estrada index of graphs, Linear Multilinear Algebra (2023), In press. https://doi.org/10.1080/03081087.2023.2192459 [13] M.R. Oboudi, Reverse Wiener spectral radius of trees, Linear Multilinear Algebra 71 (2023), no. 2, 256–264. https://doi.org/10.1080/03081087.2021.2025199 [14] Y. Shang, Estimating the distance Estrada index, Kuwait J. Sci. 43 (2016), no. 3, 14–19. | ||
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