Wiener Number of Some Subgraphs in Archimedean Tilings

نویسندگان

چکیده

In this paper, we deduce Wiener number of some connected subgraphs in tilings (4, 4, 4) and 6, 12), which are Archimedean tilings. And compute their average distance.

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

Computing the Tutte polynomial of Archimedean tilings

We describe an algorithm to compute the Tutte polynomial of large fragments of Archimedean tilings by squares, triangles, hexagons and combinations thereof. Our algorithm improves a well known method for computing the Tutte polynomial of square lattices. We also address the problem of obtaining Tutte polynomial evaluations from the symbolic expressions generated by our algorithm, improving the ...

متن کامل

Minimal Covers of the Archimedean Tilings, Part 1

We discuss representations of non-finite polyhedra as quotients of regular polytopes. We provide some structural results about the minimal regular covers of non-finite polyhedra and about the stabilizer subgroups of their flags under the flag action of the automorphism group of the covering polytope. As motivating examples we discuss the minimal regular covers of the Archimedean tilings, and we...

متن کامل

Minimal Covers of the Archimedean Tilings, Part II

In Part I of this paper ([PW12]), the minimal regular covers of three of the eight Archimedean tilings were determined. However, the computations described in that work grow more complicated as the number of flag orbits of the tilings increases. In Part II, we develop a new technique in order to present the minimal regular covers of certain periodic abstract polytopes. We then use that techniqu...

متن کامل

Uniform edge-c-colorings of the Archimedean tilings

In the book Tilings and Patterns by B. Grunbaum and G. S. Shephard, the problem of classifying the uniform edge-c-colorings of Archimedean tilings of the Euclidean plane is posed. This article provides such a classification.

متن کامل

On the stability of Archimedean tilings formed by patchy particles.

We have investigated the possibility of decorating, using a bottom-up strategy, patchy particles in such a way that they self-assemble in (two-dimensional) Archimedean tilings. Except for the trihexagonal tiling, we have identified conditions under which this is indeed possible. The more compact tilings, i.e., the elongated triangular and the snub square tilings (which are built up by triangles...

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: Applied mathematics

سال: 2021

ISSN: ['2152-7393', '2152-7385']

DOI: https://doi.org/10.4236/am.2021.1211062