A nonhamiltonian five-regular multitriangular polyhedral graph

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Subgraphs Graph in a Distance-regular Graph

Let Γ denote a D-bounded distance-regular graph, where D ≥ 3 is the diameter of Γ. For 0 ≤ s ≤ D − 3 and a weak-geodetically closed subgraph ∆ of Γ with diameter s, define a graph G(∆) whose vertex set is the collection of all weak-geodetically closed subgraphs of diameter s+2 containing ∆, and vertex Ω is adjacent to vertex Ω′ in G if and only if Ω∩Ω′ as a subgraph of Γ has diameter s+1. We sh...

متن کامل

Hamiltonicity in multitriangular graphs

The family of 5–valent polyhedral graphs whose faces are all triangles or 3s–gons, s ≥ 9, is shown to contain non–hamiltonian graphs and to have a shortness exponent smaller than one.

متن کامل

A Questionable Distance-Regular Graph

In this paper, we introduce distance-regular graphs and develop the intersection algebra for these graphs which is based upon its intersection numbers. We discuss results following from the definition of the intersection algebra. We investigate two examples of distance-regular graphs and show how these results apply. Finally, we introduce parameters that determine intersection numbers. We inves...

متن کامل

A Querying Regular Graph Patterns

Graph data appears in a variety of application domains, and many uses of it, such as querying, matching, and transforming data, naturally result in incompletely specified graph data, i.e., graph patterns. While queries need to be posed against such data, techniques for querying patterns are generally lacking, and properties of such queries are not well understood. Our goal is to study the basic...

متن کامل

The Five Dimensional Polyhedral Schoenflies Theorem

Introduction. The central result of this note is a proof that in the 5-sphere with its usual piecewise linear structure, a subpolyhedron homeomorphic to 5 4 bounds two topological 5-cells. Some related facts about imbeddings of 5 n 1 in S are also included. Our information about such imbeddings is quite incomplete, so it may be appropriate, after making a few definitions, to summarize current k...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1996

ISSN: 0012-365X

DOI: 10.1016/0012-365x(95)00203-9