2-decomposable, 3-decomposable multipaths and t-decomposable spiders

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：18

、訪客IP：3.129.58.166

姓名

張凱涵(Kai-han Chang) 查詢紙本館藏

畢業系所

數學系

論文名稱

(2-decomposable, 3-decomposable multipaths and t-decomposable spiders)

相關論文

★ 圖之均勻分解與有向圖之因子分解	★ 加權圖之和、中位點及位移
★ 迴圈之冪圖的星林分解數	★ 圖形的線性蔭度及星形蔭度
★ On n-good graphs	★ A Note On Degree-Continuous Graphs
★ Status Sequences and Branch-Weight Sequences of Trees	★ n-realizable Quadruple
★ 圖形的路徑分解,迴路分解和星形分解	★ 星林圖的二分解與三分解
★ 圖形分解與反魔圖	★ The antimagic graph with a generalization
★ 圖的程度序列和狀態	★ The 3-split of multipaths and multicycles with multiplicity 2
★ 圖形之分割與反魔標號

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

摘要(中)

一個圖G可以被分解成t個同構的子圖，我們稱G是可t分解的。
具有多重邊的路(path)稱為multipath。
一個樹(tree)只有唯一一個點(vertex) degree $geq$ 3，稱為蜘蛛(spider).
在這篇論文中，
我們探討了可二分解和三分解的multipaths與可t分解的蜘蛛。

摘要(英)

A graph G is t-decomposable if and only if G can be decomposed into t isomorphic
subgraphs. A multipath is a path with multiple edges allowed. A spider is a tree which
has a unique vertex with degree ≥ 3.
In this thesis, we investigate 2-decomposable and 3-decomposable multipaths and
t-decomposable spiders.

關鍵字(中)

★ 圖形分解
★ 多重邊路圖
★ 蜘蛛圖

關鍵字(英)

★ multipaths
★ decomposition
★ spiders

論文目次

Abstract (in Chinese) i
Abstract (in English) ii
l

參考文獻

[1] J. Bosa’k, Decompositions of graphs, Kluwer Academic, MA (1990).
[2] C. R. J. Clapham, Graphs self-complementary in Kn − e, Discrete Math. 81
(1990), 229–235.
[3] T. Gangopadhyay, S. P. Rao Hebbare, Multipartite self-complementary graphs,
Ars Combin. 13 (1982), 87–114
[4] T. Gangopadhyay, S. P. Rao Hebbare, r-partite self-complementary graph-
diameters, Discrete Math. 32 (1980), 245–255.
[5] Gibbs, Richard A. Self-complementary graphs, J. Combinatorial Theory. Ser.
B 16 (1974), 106–123.
[6] F. Harary, R. W. Robinson and N. C. Wormald, Isomorphic factorization III
complete multipartite graphs, Combinatorial Math, Lecture Notes in Math. 686
(1978), 47–54.
[7] F. Harary, R. W. Robinson and N. C. Wormald, The Divisibility theorem for
isomorphic factorization of complete graphs, J. Graph Theory l (1977), 187–
188.
[8] Quinn, S. J. Factorization of complete bipartite graphs into two isomorphic sub-
graphs, Combinatorial Math. ù, 98–111, Lecture Notes in Math. 748, Springer,
Berlin, 1979.
[9] Quinn, S. J. Isomorphic factorization of complete equipartite graphs, J. Graph
Theory 7 (1983), no.3, 285–310.
[10] D.B. West, Introduction to graph theory, 2nd ed. , Prentice-Hall, NJ (2001).

指導教授

林強(Chiang Lin)

審核日期

2007-7-17

推文