Number of Nodes in any Graph Calculator

✖Simple Graph Branches refers to connecting links between the edges of a simple graph.ⓘ Simple Graph Branches [b]			+10% -10%
✖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.ⓘ Simple Graph Links [L]			+10% -10%

✖Nodes is defined as the junctions where two or more elements are connected.ⓘ Number of Nodes in any Graph [N]

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Formula

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Number of Nodes in any Graph

Formula

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

Example

`"6"="8"-"3"+1`

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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)

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Created by Aman Dhussawat

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 Nodes in any Graph Formula

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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