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![Edge Labelings on the Partially Ordered Set of Non-crossing Bonds için kapak resmi Edge Labelings on the Partially Ordered Set of Non-crossing Bonds için kapak resmi](/client/assets/d79c3e4af2b6d196/ctx/images/no_image.png)
Edge Labelings on the Partially Ordered Set of Non-crossing Bonds
Başlık:
Edge Labelings on the Partially Ordered Set of Non-crossing Bonds
Yazar:
Farmer, Charles Matthew, author.
ISBN:
9780355987447
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (76 pages)
Genel Not:
Source: Masters Abstracts International, Volume: 57-06M(E).
Advisors: Joshua W. Hallam; Sarah K. Mason Committee members: Edward E. Allen; Hugh N. Howards.
Özet:
Let G be a graph with a finite vertex set and edge set. A bond of G is a spanning subgraph of G whose connected components are induced. This collection of bonds form a partially ordered set which is also a lattice. This lattice has what is known as an ER-labeling. We explore a new subposet of this lattice which we call the "non-crossing bond poset" for all graphs finite graphs. Then we aim to show when this subposet has the desired ER-labeling and when it does not. This paper will focus on what the bond lattice of a graph is, examples of when the non-crossing bond poset has an ER-labeling and when it does not, and the classification of all graphs whose non-crossing bond poset has an ER-labeling. Once such graphs have been found, we then attempt to find the characteristic polynomials of such posets.
Notlar:
School code: 0248
Konu Başlığı:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(692527.1) | 692527-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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