Anti-magic labelling of Cartesian product of graphs

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

Distance magic Cartesian product of graphs

24 A distance magic labeling of a graph G = (V,E) with |V | = n is a bijection 25 l : V → {1, . . . , n} such that the weight of every vertex v, computed as the sum 26 of the labels on the vertices in the open neighborhood of v, is a constant. 27 In this paper, we show that hypercubes with dimension divisible by four 28 are not distance magic. We also provide some positive results by providing ...

متن کامل

The reliability Wiener number of cartesian product graphs

Reliability Wiener number is a modification of the original Wiener number in which probabilities are assigned to edges yielding a natural model in which there are some (or all) bonds in the molecule that are not static. Various probabilities naturally allow modelling different types of chemical bonds because chemical bonds are of different types and it is well-known that under certain condition...

متن کامل

Secret Sharing Based On Cartesian product Of Graphs

The purpose of this paper is to study the information ratio of perfect secret sharing of product of some special families of graphs. We seek to prove that the information ratio of prism graphs $Y_{n}$ are equal to $frac{7}{4}$ for any $ngeq 5$, and we will gave a partial answer to a question of Csirmaz cite{CL}. We will also study the information ratio of two other families $C_{m}times C_{n}$ a...

متن کامل

Connectivity of Cartesian product graphs

Use vi , i , i , i to denote order, connectivity, edge-connectivity and minimum degree of a graphGi for i=1, 2, respectively. For the connectivity and the edge-connectivity of the Cartesian product graph, up to now, the best results are (G1×G2) 1+ 2 and (G1×G2) 1+ 2. This paper improves these results by proving that (G1×G2) min{ 1+ 2, 2+ 1} and (G1×G2)= min{ 1+ 2, 1v2, 2v1} ifG1 andG2 are conne...

متن کامل

Generalized Cartesian Product of Graphs

Abstract—In graph theory, different types of products of two graphs had been studied, e.g., Cartesian product, Tensor product, Strong product, etc. In this paper we generalize the concept of Cartesian product of graphs.We define 2 Cartesian product and more generally r Cartesian product of two graphs. We study these product mainly for path graphs. We also discuss connectedness of the new graph.

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: Theoretical Computer Science

سال: 2013

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2012.12.023