Number of Graphs given Nodes Calculator

✖Nodes is defined as the junctions where two or more elements are connected.ⓘ Nodes [N]

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✖Number of Graph is defined as the total number of simple graphs that can be created with he given number of nodes.ⓘ Number of Graphs given Nodes [N_graph]

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Formula

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Number of Graphs given Nodes

Formula

`"N"_{"graph"} = 2^("N"*("N"-1)/2)`

Example

`"32768"=2^("6"*("6"-1)/2)`

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Number of Graphs given Nodes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Graph = 2^(Nodes*(Nodes-1)/2)
N_graph = 2^(N*(N-1)/2)
This formula uses 2 Variables

Variables Used

Number of Graph - Number of Graph is defined as the total number of simple graphs that can be created with he given number of nodes.
Nodes - Nodes is defined as the junctions where two or more elements are connected.

STEP 1: Convert Input(s) to Base Unit

Nodes: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_graph = 2^(N*(N-1)/2) --> 2^(6*(6-1)/2)

Evaluating ... ...

N_graph = 32768

STEP 3: Convert Result to Output's Unit

32768 --> No Conversion Required

FINAL ANSWER

32768 <-- Number of Graph

(Calculation completed in 00.004 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 15 Circuit Graph Theory Calculators

Average Path Length between Connected Nodes

Go Average Path Length = ln(Nodes)/ln(Average Degree)

Number of Branches in Forest Graph

Go Forest Graph Branches = Nodes-Forest Graph Components

Number of Branches in any Graph

Go Simple Graph Branches = Simple Graph Links+Nodes-1

Number of Links in any Graph

Go Simple Graph Links = Simple Graph Branches-Nodes+1

Number of Nodes in any Graph

Go Nodes = Simple Graph Branches-Simple Graph Links+1

Average Degree

Go Average Degree = Node Connection Probability*Nodes

Rank for Incidence Matrix using Probability

Go Matrix Rank = Nodes-Node Connection Probability

Number of Branches in Complete Graph

Go Complete Graph Branches = (Nodes*(Nodes-1))/2

Number of Graphs given Nodes

Go Number of Graph = 2^(Nodes*(Nodes-1)/2)

Spanning Tress in Complete Graph

Go Spanning Trees = Nodes^(Nodes-2)

Number of Maxterms and Minterms

Go Total Minterms/ Maxterms = 2^Number of Input Variables

Maximum Number of Edges in Bipartite Graph

Go Bipartite Graph Branches = (Nodes^2)/4

Number of Branches in Wheel Graph

Go Wheel Graph Branches = 2*(Nodes-1)

Rank of Incidence Matrix

Go Matrix Rank = Nodes-1

Rank of Cutset Matrix

Go Matrix Rank = Nodes-1

Number of Graphs given Nodes Formula

Number of Graph = 2^(Nodes*(Nodes-1)/2)
N_graph = 2^(N*(N-1)/2)

What is a degree?

A degree is defined as the number of edges incident on a node in a electrical network graph. It is of two types inward degree and outward degree.

How to Calculate Number of Graphs given Nodes?

Number of Graphs given Nodes calculator uses Number of Graph = 2^(Nodes*(Nodes-1)/2) to calculate the Number of Graph, The Number of Graphs given Nodes formula is defined as total number of simple graphs that can be created with the given number of nodes. Number of Graph is denoted by N_graph symbol.

How to calculate Number of Graphs given Nodes using this online calculator? To use this online calculator for Number of Graphs given Nodes, enter Nodes (N) and hit the calculate button. Here is how the Number of Graphs given Nodes calculation can be explained with given input values -> 32768 = 2^(6*(6-1)/2).

FAQ

What is Number of Graphs given Nodes?

The Number of Graphs given Nodes formula is defined as total number of simple graphs that can be created with the given number of nodes and is represented as N_graph = 2^(N*(N-1)/2) or Number of Graph = 2^(Nodes*(Nodes-1)/2). Nodes is defined as the junctions where two or more elements are connected.

How to calculate Number of Graphs given Nodes?

The Number of Graphs given Nodes formula is defined as total number of simple graphs that can be created with the given number of nodes is calculated using Number of Graph = 2^(Nodes*(Nodes-1)/2). To calculate Number of Graphs given Nodes, you need Nodes (N). With our tool, you need to enter the respective value for Nodes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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