Volume 55 (2023)
Volume 54 (2022)
Volume 53 (2021)
Volume 52 (2020)
Volume 51 (2019)
Volume 50 (2018)
Volume 49 (2017)
Volume 48 (2016)
Volume 47 (2016)
Volume 46 (2015)
Volume 45 (2014)
Volume 44 (2013)
Volume 43 (2009)
Volume 42 (2008)
Volume 41 (2007)
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

On computing total double Roman domination number of trees in linear time

Abolfazl Poureidi

Volume 52, Issue 1 , June 2020, , Pages 131-137

https://doi.org/10.22059/jac.2020.76537

Abstract
  Let $G=(V,E)$ be a graph. A doubleRoman dominating function (DRDF) on $G$ is a function$f:V\to\{0,1,2,3\}$ such that for every vertex $v\in V$if $f(v)=0$, then either there is a vertex $u$ adjacent to $v$ with $f(u)=3$ orthere are vertices $x$ and $y$ adjacent to $v$ with $f(x)=f(y)=2$ and if $f(v)=1$, ...  Read More