Jan 30, 2017 · The radio number of G is defined as ≔ rn ( G ) ≔ min f span ( f ) with minimum over all radio labelings f of G . A radio labeling f of G is ...

Apr 6, 2008 · The radio number for G, denoted by rn ( G ) , is the smallest integer k such that there exists a function f : V ( G ) → { 0 , 1 , 2 , … , k } ...

Sep 10, 2016 · We give a necessary and sufficient condition for a lower bound on the radio number of trees to be achieved, two other sufficient conditions for ...

Apr 1, 2009 · The radio number for G, denoted by rn(G), is the smallest integer k such that there exists a function f : V (G) → {0, 1, 2,ททท, k} with the ...

Apr 12, 2024 · In this paper, we give a lower bound for the radio number of the Cartesian product of a tree and a complete graph and give two necessary and ...

The radio number of $G$ is the smallest integer $k$ such that $G$ has a radio labeling $f$ with $\max\{f(v) : v \in V(G)\} = k$.

The radio number of is the smallest integer such that has a radio labeling with . We give a necessary and sufficient condition for a lower bound on the radio ...

Let G be a connected graph with diameter diam(G). The radio number for G, denoted by rn(G), is the smallest integer k such that there exists a function ...

Feb 28, 2022 · In this paper, we give a lower bound for the radio number of the Cartesian product of two trees. Moreover, we present three necessary and ...

A radio labeling of a graph G is a mapping f:V(G)→{0,1,2,…} such that |f(u)−f(v)|≥diam(G)+1−d(u,v) for every pair of distinct vertices u,v of G, where diam(G) ...