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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/61193

    Title: 圖形分解與反魔圖;Two Edge Labelings in Graphs :Graph Decomposition and Antimagic Labeling
    Authors: 陳盈任;Chen,Ying-Ren
    Contributors: 數學系
    Keywords: 圖形分解;反魔圖;多重邊路徑;蜘蛛分解;球型上經緯線;強乘績;Decomposition;Antimagic;Multipaths;spider decomposition;globes;Strong product
    Date: 2013-07-15
    Issue Date: 2013-08-22 12:14:31 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 圖形分解是圖論中的一個非常重要課題。
    另一方面,圖分解的結果可以應用在編碼理論,實驗設計,計算機和通信網絡等領域。 反魔圖是圖形的一種標號。一般圖形標號是將圖形內的頂點
    Graph decomposition is an important subject of graph theory.
    Many combinatorial, algebraic, and other mathematical structures
    are linked to decompositions of graphs,
    which gives their study a great theoretical importance.
    On the other hand, results on graph decompositions
    can be applied in coding theory, design of experiments,
    computer and communication networks, and other fields.
    Nowadays, graph decomposition ranks the most prominent area
    in graph theorey, even in combinatorics.
    A graph is called an antimagic graph, if there exists an edge labeling which is an assignment of integers to the vertices
    or edges, or both, subject to certain conditions. Graph labelings were first introduced in the late 1960s.
    In the intervening years dozens of graph labelings techniques have been studied in over 1500 papers.
    Graph labeling can be applied in computer and communication networks, applied statistics research,
    and some design science other fields.
    Appears in Collections:[數學研究所] 博碩士論文

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