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In graph theory, a branch of mathematics, a radio coloring of an undirected graph is a form of graph coloring in which one assigns positive integer labels to the graphs such that the labels of adjacent vertices differ by at least two, and the labels of vertices at distance two from each other differ by at least one.

A radio mean labeling is a one to one mapping from to satisfying the condition (1.1) d ( u , v ) + ⌈ f ( u ) + f ( v ) 2 ⌉ ≥ 1 + diam ( G ) for every u , v ∈ V ( G ) . The span of a labeling is the maximum integer that maps to a vertex of .

The radio number( rn ( G )) of G is thelowest span over all radio labelings of the graph. We will refer to inequality(1.1) as the radio condition. Note that this condition necessitates the useof distance integers, thus rn( G ) ≥ | V ( G ) | for all graphs G .

In labeling (valuation or numbering) of a graph G, we partner unmistakable nonnegative whole numbers to the vertices of G as vertex labels (vertex esteems or vertex numbers) so that each edge gets a particular positive whole number as an edge name (edge worth or edge number) contingent upon the vertex labels of ...

A radio labeling of a graph is labeling using distinct nonnegative integers such that for every pair of distinct vertices , in the vertex set of . Then the radio number of , commonly denoted , is the smallest integer such that has a radio labeling with .

In graph theory, a branch of mathematics, a radio coloring of an undirected graph is a form of graph coloring in which one assigns positive integer labels to the graphs such that the labels of adjacent vertices differ by at least two, and the labels of vertices at distance two from each other differ by at least one.

Step 1: Identify the variables. ... Step 2: Determine the variable range. ... Step 3: Determine the scale of the graph. ... Step 4: Number and label each axis and title the graph. Step 5: Determine the data points and plot on the graph. ... Step 6: Draw the graph.

In this article, we have proved that total graph of path graph admits different types of labeling. Total path graph admits cordial labeling, difference cordial, signed product cordial labeling, vertex even mean labeling and vertex odd mean labeling.

In graph theory, a branch of mathematics, a radio coloring of an undirected graph is a form of graph coloring in which one assigns positive integer labels to the graphs such that the labels of adjacent vertices differ by at least two, and the labels of vertices at distance two from each other differ by at least one.

A radio mean labeling is a one to one mapping from to satisfying the condition (1.1) d ( u , v ) + ⌈ f ( u ) + f ( v ) 2 ⌉ ≥ 1 + diam ( G ) for every u , v ∈ V ( G ) . The span of a labeling is the maximum integer that maps to a vertex of .

The radio number( rn ( G )) of G is thelowest span over all radio labelings of the graph. We will refer to inequality(1.1) as the radio condition. Note that this condition necessitates the useof distance integers, thus rn( G ) ≥ | V ( G ) | for all graphs G .

In labeling (valuation or numbering) of a graph G, we partner unmistakable nonnegative whole numbers to the vertices of G as vertex labels (vertex esteems or vertex numbers) so that each edge gets a particular positive whole number as an edge name (edge worth or edge number) contingent upon the vertex labels of ...

A radio labeling of a graph is labeling using distinct nonnegative integers such that for every pair of distinct vertices , in the vertex set of . Then the radio number of , commonly denoted , is the smallest integer such that has a radio labeling with .

In graph theory, a branch of mathematics, a radio coloring of an undirected graph is a form of graph coloring in which one assigns positive integer labels to the graphs such that the labels of adjacent vertices differ by at least two, and the labels of vertices at distance two from each other differ by at least one.

Step 1: Identify the variables. ... Step 2: Determine the variable range. ... Step 3: Determine the scale of the graph. ... Step 4: Number and label each axis and title the graph. Step 5: Determine the data points and plot on the graph. ... Step 6: Draw the graph.

In this article, we have proved that total graph of path graph admits different types of labeling. Total path graph admits cordial labeling, difference cordial, signed product cordial labeling, vertex even mean labeling and vertex odd mean labeling.