Journal of Algorithms and Computation

This paper is about producing a new kind of pairs which we call MS-pairs. To produce these pairs, we use an algorithm for dividing a natural number $x$ by two for two arbitrary numbers and consider their related graphs. We present some applications of these pairs that show their interesting properties ... Read More

On the domination number of generalized Petersen graphs

Abolfazl Poureidi

Volume 52, Issue 2 , December 2020, , Pages 57-65

https://doi.org/10.22059/jac.2020.79236

Abstract

Let $n$ and $k$ be integers such that $3\leq 2k+ 1 \leq n$.The generalized Petersen graph $GP(n, k)=(V,E) $ is the graph with $V=\{u_1, u_2,\ldots, u_n\}\cup\{v_1, v_2,\ldots, v_n\}$ and $E=\{u_iu_{i+1}, u_iv_i, v_iv_{i+k}: 1 \leq i \leq n\}$, whereaddition is in modulo $n$. A subset $D\subseteq V$ is ... Read More

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Keywords = Algorithm

Sequence pairs related to produced graphs from a method for dividing a natural number by two.

Abstract

On the domination number of generalized Petersen graphs

Abstract