## Number of Branches of any Graph Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of edges = Links+Number of Nodes-1
b = L+N-1
This formula uses 3 Variables
Variables Used
Number of edges - Number of edges is defined as the total number of vertices in a graph.
Number of Nodes - Number of Nodes is defined as the junctions where two or more elements are connected.
STEP 1: Convert Input(s) to Base Unit
Links: 2 --> No Conversion Required
Number of Nodes: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = L+N-1 --> 2+4-1
Evaluating ... ...
b = 5
STEP 3: Convert Result to Output's Unit
5 --> No Conversion Required
5 <-- Number of edges
(Calculation completed in 00.000 seconds)
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## Credits

Created by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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## < 7 Circuit Graph Theory Calculators

Number of Edges in complete Graph

## Number of Edges in complete Graph

Formula
"b" = ("N"*("N"-1))/2

Example
"6"=("4"*("4"-1))/2

Calculator
LaTeX
Number of edges = (Number of Nodes*(Number of Nodes-1))/2
Number of Branches of any Graph

## Number of Branches of any Graph

Formula
"b" = "L"+"N"-1

Example
"5"="2"+"4"-1

Calculator
LaTeX
Number of edges = Links+Number of Nodes-1
Number of Links of any Graph

## Number of Links of any Graph

Formula
"L" = "b"-"N"+1

Example
"3"="6"-"4"+1

Calculator
LaTeX
Links = Number of edges-Number of Nodes+1
Number of nodes of any Graph

## Number of nodes of any Graph

Formula
"N" = "b"-"L"+1

Example
"5"="6"-"2"+1

Calculator
LaTeX
Number of Nodes = Number of edges-Links+1
Number of Maxterms and Minterms

## Number of Maxterms and Minterms

Formula
"N"_{"τ"} = (2^"n")

Example
"32"=(2^"5")

Calculator
LaTeX
Total Minterms/ Maxterms = (2^Number of input variables)
Rank of Incidence Matrix

## Rank of Incidence Matrix

Formula
"ρ" = "N"-1

Example
"3"="4"-1

Calculator
LaTeX
Rank of matrix = Number of Nodes-1
Rank of Cutset Matrix

## Rank of Cutset Matrix

Formula
"ρ" = "N"-1

Example
"3"="4"-1

Calculator
LaTeX
Rank of matrix = Number of Nodes-1

## Number of Branches of any Graph Formula

Number of edges = Links+Number of Nodes-1
b = L+N-1

## What are branches ?

What is branch in circuit theory?
Branch – Branches are the connections between nodes. A branch is an element (resistor, capacitor, source, etc.). The number of branches in a circuit is equal to the number of elements.

## How to Calculate Number of Branches of any Graph?

Number of Branches of any Graph calculator uses Number of edges = Links+Number of Nodes-1 to calculate the Number of edges, The Number of Branches of any graph formula gives the number of links of a co tree. Number of edges is denoted by b symbol.

How to calculate Number of Branches of any Graph using this online calculator? To use this online calculator for Number of Branches of any Graph, enter Links (L) & Number of Nodes (N) and hit the calculate button. Here is how the Number of Branches of any Graph calculation can be explained with given input values -> 5 = 2+4-1.

### FAQ

What is Number of Branches of any Graph?
The Number of Branches of any graph formula gives the number of links of a co tree and is represented as b = L+N-1 or Number of edges = Links+Number of Nodes-1. Links are the branches of co tree & Number of Nodes is defined as the junctions where two or more elements are connected.
How to calculate Number of Branches of any Graph?
The Number of Branches of any graph formula gives the number of links of a co tree is calculated using Number of edges = Links+Number of Nodes-1. To calculate Number of Branches of any Graph, you need Links (L) & Number of Nodes (N). With our tool, you need to enter the respective value for Links & Number of Nodes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Number of edges?
In this formula, Number of edges uses Links & Number of Nodes. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Number of edges = (Number of Nodes*(Number of Nodes-1))/2
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