Number of nodes of any Graph Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Nodes = Number of edges-Links+1
N = b-L+1
This formula uses 3 Variables
Variables Used
Number of Nodes - Number of Nodes is defined as the junctions where two or more elements are connected.
Number of edges - Number of edges is defined as the total number of vertices in a graph.
Links - Links are the branches of co tree.
STEP 1: Convert Input(s) to Base Unit
Number of edges: 6 --> No Conversion Required
Links: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = b-L+1 --> 6-2+1
Evaluating ... ...
N = 5
STEP 3: Convert Result to Output's Unit
5 --> No Conversion Required
FINAL ANSWER
5 <-- Number of Nodes
(Calculation completed in 00.000 seconds)

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`

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LaTeX
Go 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`

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LaTeX
Go 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`

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LaTeX
Go 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
Go 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")`

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

Rank of Incidence Matrix

Formula
`"ρ" = "N"-1`

Example
`"3"="4"-1`

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Go Rank of matrix = Number of Nodes-1
Rank of Cutset Matrix

Rank of Cutset Matrix

Formula
`"ρ" = "N"-1`

Example
`"3"="4"-1`

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LaTeX
Go Rank of matrix = Number of Nodes-1

Number of nodes of any Graph Formula

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

What is called nodes?

A node is a basic unit of a data structure, such as a linked list or tree data structure. Nodes contain data and also may link to other nodes. Links between nodes are often implemented by pointers.

How to Calculate Number of nodes of any Graph?

Number of nodes of any Graph calculator uses Number of Nodes = Number of edges-Links+1 to calculate the Number of Nodes, The Number of nodes of any graph formula gives the number of nodes is equal to the number of branches minus number of links plus 1 . Number of Nodes is denoted by N symbol.

How to calculate Number of nodes of any Graph using this online calculator? To use this online calculator for Number of nodes of any Graph, enter Number of edges (b) & Links (L) and hit the calculate button. Here is how the Number of nodes of any Graph calculation can be explained with given input values -> 5 = 6-2+1.

FAQ

What is Number of nodes of any Graph?
The Number of nodes of any graph formula gives the number of nodes is equal to the number of branches minus number of links plus 1 and is represented as N = b-L+1 or Number of Nodes = Number of edges-Links+1. Number of edges is defined as the total number of vertices in a graph & Links are the branches of co tree.
How to calculate Number of nodes of any Graph?
The Number of nodes of any graph formula gives the number of nodes is equal to the number of branches minus number of links plus 1 is calculated using Number of Nodes = Number of edges-Links+1. To calculate Number of nodes of any Graph, you need Number of edges (b) & Links (L). With our tool, you need to enter the respective value for Number of edges & Links 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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