‎Let $textit{G}$ be a simple‎, ‎oriented connected graph with $n$ vertices and $m$ edges‎. ‎Let $I(textbf{B})$ be the binomial ideal associated to the incidence matrix textbf{B} of the graph $G$‎. ‎Assume that $I_L$ is the ...

The harmonic index of a graph $G$ is defined as $ H(G)=sumlimits_{uvin E(G)}frac{2}{d(u)+d(v)}$‎, ‎where $d(u)$ denotes the degree of a vertex $u$ in $G$‎. ‎Let $mathcal{G}(n,k)$ be the set of simple $n$-vertex graphs with ...

This paper investigates properties of the reduced zero-divisor graph of a poset. We show that a vertex is an annihilator prime ideal if and only if it is adjacent to all other annihilator prime ideals and there are always ...

‎In this paper‎, ‎we consider statistics on permutations of length $n$ represented geometrically as bargraphs having the same number of horizontal steps‎. ‎More precisely‎, ‎we find the joint distribution of the descent ...

Let $f_n$ denotes the $n$th Fubini number. In this paper, first we give upper and lower bounds for the Fubini numbers $f_n$. Then the log-convexity of the Fubini numbers has been obtained. Furthermore we also give the ...