拉普拉斯居中度研究概述;A Review of the Study on Laplacian Centrality

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/86699

Title:	拉普拉斯居中度研究概述;A Review of the Study on Laplacian Centrality
Authors:	許家承;Syu, Jia-Cheng
Contributors:	數學系
Keywords:	拉普拉斯居中度;拉普拉斯矩陣;Laplacian Centrality;Laplacian matrix
Date:	2021-06-23
Issue Date:	2021-12-07 13:07:49 (UTC+8)
Publisher:	國立中央大學
Abstract:	拉普拉斯居中度是一個圖形參數，用來測量頂點 (node) 的相對重要性。在本文中，我們通過介紹文獻中有關拉普拉斯中心性的主要結果與其證明，來簡要介紹拉普拉斯居中度。我們還對一些原始較複雜的證明，提供了新的簡潔證明。;Laplacian centrality is a graph parameter to measure the importance of a vertex (comparing to other vertices in the same graph). In this paper we give a brief introduction of Laplacian centrality by presenting key results about Laplacian centrality in the literature together with proofs. We also provide simple and shorter new proofs (along the line of the original complicated proofs) for some these results.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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