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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/68875

    Title: 圖形之分割與反魔標號;Decompositions and Antimagic Labelings of Graphs
    Authors: 陳抮君;Chen,Zhen-Chun
    Contributors: 數學系
    Keywords: 圖形之分割;反魔標號;decompositions;antimagic
    Date: 2015-07-24
    Issue Date: 2015-09-23 14:45:46 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 本篇論文研究圖形之分解(decompositions of graphs)與圖形之反魔標號(antimagic labelings of graphs)。
    在第二章,我們將完全圖(the complete graphs)分解成兩種特別的圖形,兩種圖邊的個數在考慮之內。
    在第五章,我們得到星林圖(star forest)是反魔圖的一個必要條件和一個充份條件,且得到mS2∪Sn是反魔圖的充份必要條件。;In this thesis, we investigate decompositions and antimagic labelings of graphs.
    In Chapter 1, we give some terminology and notation needed in the thesis. Chapter
    2∼4 concern decompositions of graphs. Chapter 5 concerns antimagic labelings of
    In Chapter 2, we consider the problems about decompositions of the complete graphs
    Kn into two kinds of graphs, each with specific numbers of edges.
    In Chapter 3, the problems of the maximum (Pk; Sk)-packing, the minimum (Pk; Sk)-
    covering, the maximum (Ck; Sk)-packing and the minimum (Ck; Sk)-covering of Kn
    are investigated.
    In Chapter 4, we give necessary and sufficient conditions for the spiders to be t-
    In Chapter 5, we obtain a necessary condition for the star forest to be antimagic and
    a sufficient condition for the star forest to be antimagic, and necessary and sufficient
    conditions for mS2 ∪ Sn to be antimagic.
    Appears in Collections:[數學研究所] 博碩士論文

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