控制理論觀點的有向圖電阻距離簡介;Introduction to Resistance Distance for Digraphs from Control Theory Perspective

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/86708

Title:	控制理論觀點的有向圖電阻距離簡介;Introduction to Resistance Distance for Digraphs from Control Theory Perspective
Authors:	林宏穎;Lin, Hong-Ying
Contributors:	數學系
Keywords:	有效電阻
Date:	2021-06-25
Issue Date:	2021-12-07 13:08:36 (UTC+8)
Publisher:	國立中央大學
Abstract:	在2016 年，Young，Scardovi 和Leonard [10] 的文章中，他們在邊加權的有向圖上，對圖中兩個不同的節點i 和j 定義了有效電阻rij 的新概念。在此碩士論文中，我們主要的工作是蒐集用來了解rij 定義的基礎知識並證明必要的數學理論。在論文的最後，我們透過Python程式計算一些特殊有向圖上的有效電阻，以提供有向圖結構對rij 影響的線索。;In [10], Young, Scardovi and Leonard gave a definition of effective resistance rij for two distinct nodes i and j in an edge-weighted directed graph. In this report we describe basic knowledge and develop necessary tools to understand their interesting definition of effective resistance in directed graphs.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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