Number of Nodes in any Graph Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nodes = Simple Graph Branches-Simple Graph Links+1
N = b-L+1
This formula uses 3 Variables
Variables Used
Nodes - Nodes is defined as the junctions where two or more elements are connected.
Simple Graph Branches - Simple Graph Branches refers to connecting links between the edges of a simple graph.
Simple Graph Links - Simple Graph Links refers to the branches of co-tree, i.e., those elements of the connected graph that are not included in the tree links and forms a sub graph.
STEP 1: Convert Input(s) to Base Unit
Simple Graph Branches: 8 --> No Conversion Required
Simple Graph Links: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = b-L+1 --> 8-3+1
Evaluating ... ...
N = 6
STEP 3: Convert Result to Output's Unit
6 --> No Conversion Required
FINAL ANSWER
6 <-- Nodes
(Calculation completed in 00.004 seconds)

Credits

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Created by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
Aman Dhussawat has created this Calculator and 50+ more calculators!
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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Circuit Graph Theory Calculators

Number of Links in any Graph
​ LaTeX ​ Go Simple Graph Links = Simple Graph Branches-Nodes+1
Number of Branches in Complete Graph
​ LaTeX ​ Go Complete Graph Branches = (Nodes*(Nodes-1))/2
Rank of Incidence Matrix
​ LaTeX ​ Go Matrix Rank = Nodes-1
Rank of Cutset Matrix
​ LaTeX ​ Go Matrix Rank = Nodes-1

Number of Nodes in any Graph Formula

​LaTeX ​Go
Nodes = Simple Graph Branches-Simple Graph Links+1
N = b-L+1

What is a branch and a node?

Branch represents a single circuit element like resistor, voltage source etc. Node is a point in a network where two or more circuit elements are connected. Loop: Any close path in the circuit can be called as a loop.

How to Calculate Number of Nodes in any Graph?

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

How to calculate Number of Nodes in any Graph using this online calculator? To use this online calculator for Number of Nodes in any Graph, enter Simple Graph Branches (b) & Simple Graph Links (L) and hit the calculate button. Here is how the Number of Nodes in any Graph calculation can be explained with given input values -> 6 = 8-3+1.

FAQ

What is Number of Nodes in any Graph?
The Number of nodes in 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 Nodes = Simple Graph Branches-Simple Graph Links+1. Simple Graph Branches refers to connecting links between the edges of a simple graph & Simple Graph Links refers to the branches of co-tree, i.e., those elements of the connected graph that are not included in the tree links and forms a sub graph.
How to calculate Number of Nodes in any Graph?
The Number of nodes in any graph formula gives the number of nodes is equal to the number of branches minus number of links plus 1 is calculated using Nodes = Simple Graph Branches-Simple Graph Links+1. To calculate Number of Nodes in any Graph, you need Simple Graph Branches (b) & Simple Graph Links (L). With our tool, you need to enter the respective value for Simple Graph Branches & Simple Graph 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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