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平面圖、對(duì)偶圖和色數(shù)的應(yīng)用探究-畢業(yè)論-文庫(kù)吧資料

2025-06-10 22:42本頁(yè)面
  

【正文】 raph model, dual transformation of power electronic devices is the application ofthe dual graph coloring problem, high school mathematics graph theory method and the final exam schedule administration work and the timetable problem is the application of chromatic number of planar graphs of theory. Key words: plan, dual graph, chromatic number, application research. 1 1 引言 圖論起源于著名的哥尼斯堡七橋問(wèn)題,歐拉在 1736 年解決了這個(gè)問(wèn)題,并于 1753 年發(fā)現(xiàn)了歐拉公式而成為拓?fù)鋱D論的奠基人。其中,景區(qū)空調(diào)管道的設(shè)計(jì)和 3 間房子3 種設(shè)施問(wèn)題是典型的平面圖模型,電力電子器件的對(duì)偶變換是對(duì)偶圖理論的應(yīng)用,高中數(shù)學(xué)染色問(wèn)題的圖論解法和教務(wù)工作中期末考試安排和排課表問(wèn)題是平面圖的色數(shù)理論的應(yīng)用。 i 目 錄 1 引言 ........................................................................................................................... 1 2 相關(guān)概念和定理 ................................................................................................... 1 圖的相關(guān)概念 ......................................................................................................... 1 平面圖的相關(guān)概念和定理 ....................................................................................... 2 對(duì)偶圖的相關(guān)概念 .................................................................................................. 5 色數(shù)的相關(guān) 概念和定理 ........................................................................................... 6 圖中頂點(diǎn)的著色 ................................................................................................... 6 邊著色 ................................................................................................................. 6 面著色 ................................................................................................................. 7 3 平面圖、對(duì)偶圖和色數(shù)的應(yīng)用 ....................................................................... 7 平面圖理論的應(yīng)用 .................................................................................................. 7 對(duì)偶圖理論的應(yīng)用 .................................................................................................. 9 色數(shù)理論的應(yīng)用 ....................................................................................................10 運(yùn)用圖論知識(shí)解決高中數(shù)學(xué)染色問(wèn)題 ..................................................................10 染色理論在教務(wù)工作中的兩個(gè)應(yīng)用 ......................................................................12 4 結(jié)束語(yǔ) .....................................................................................................................15 參考文獻(xiàn) ....................................................................................................................16 致謝 .............................................................................................................................17 ii 平面 圖、對(duì)偶圖和色數(shù)的應(yīng)用探究 xxx 本 xxx 班 xxx 指導(dǎo)老師 xxx 摘 要 : 平面圖、對(duì)偶圖和色數(shù)理論不僅是圖論中的重要內(nèi)容 ,而且在實(shí)際生活
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