English  |  正體中文  |  简体中文  |  全文筆數/總筆數 : 51258/86283 (59%)
造訪人次 : 8018032      線上人數 : 72
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
搜尋範圍 查詢小技巧:
  • 您可在西文檢索詞彙前後加上"雙引號",以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋,建議至進階搜尋限定作者欄位,可獲得較完整資料
  • 進階搜尋
    請使用永久網址來引用或連結此文件: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58808


    題名: Unoriented Laplacian maximizing graphs are degree maximal
    作者: 譚必信;Tam, Bit-shun;Fan, Yi-zheng;Zhou, Jun
    貢獻者: 淡江大學數學學系
    關鍵詞: unoriented Laplacian matrix;spectral radius;perron vector;maximizing;maximal graph;threshold graph;degree sequence;vicinal pre-order
    日期: 2008-08
    上傳時間: 2011-10-01 21:12:44 (UTC+8)
    出版者: Philadelphia: Elsevier Inc.
    摘要: A connected graph is said to be unoriented Laplacian maximizing if the spectral radius of its unoriented Laplacian matrix attains the maximum among all connected graphs with the same number of vertices and the same number of edges. A graph is said to be threshold (maximal) if its degree sequence is not majorized by the degree sequence of any other graph (and, in addition, the graph is connected). It is proved that an unoriented Laplacian maximizing graph is maximal and also that there are precisely two unoriented Laplacian maximizing graphs of a given order and with nullity 3. Our treatment depends on the following known characterization: a graph G is threshold (maximal) if and only if for every pair of vertices it, v of G, the sets N(u) \ {v}, N(v) \ {u}, where N(u) denotes the neighbor set of u in G, are comparable with respect to the inclusion relation (and, in addition, the graph is connected). A conjecture about graphs that maximize the unoriented Laplacian matrix among all graphs with the same number of vertices and the same number of edges is also posed. (C) 2008 Elsevier Inc. All rights reserved.
    關聯: Linear Algebra and its Applications 429(4), pp.735-758
    DOI: 10.1016/j.laa.2008.04.002
    顯示於類別:[數學學系暨研究所] 期刊論文

    文件中的檔案:

    沒有與此文件相關的檔案.

    在機構典藏中所有的資料項目都受到原著作權保護.

    TAIR相關文章

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - 回饋