## Rank of Cutset Matrix Solution

STEP 0: Pre-Calculation Summary
Formula Used
Matrix Rank = Number of Nodes-1
ρ = N-1
This formula uses 2 Variables
Variables Used
Matrix Rank - The Matrix Rank refers to the number of linearly independent rows or columns in the matrix.
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
Number of Nodes: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = N-1 --> 4-1
Evaluating ... ...
ρ = 3
STEP 3: Convert Result to Output's Unit
3 --> No Conversion Required
3 <-- Matrix Rank
(Calculation completed in 00.000 seconds)
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Delhi Technological University (DTU), delhi
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## < 12 Circuit Graph Theory Calculators

Average Path Length between Connected Nodes
Average Path Length = ln(Number of Nodes)/ln(Average Degree)
Maximum Number of Independent KVE for Electrical Graph
Number of Independent KVE = Number of Edges-Number of Nodes+Probability
Number of Edges in Complete Graph
Number of Edges = (Number of Nodes*(Number of Nodes-1))/2
Average Degree
Average Degree = Probability*Number of Nodes
Rank for Incidence Matrix using Probability
Matrix Rank = Number of Nodes-Probability
Number of Branches in any Graph
Number of Edges = Links+Number of Nodes-1
Number of Links in any Graph
Links = Number of Edges-Number of Nodes+1
Number of Nodes in any Graph
Number of Nodes = Number of Edges-Links+1
Number of Linearly Independent Rows in Fundamental Cutset Matrix
Total Rows = Number of Nodes-Probability
Number of Maxterms and Minterms
Total Minterms/ Maxterms = (2^Number of Input Variables)
Rank of Incidence Matrix
Matrix Rank = Number of Nodes-1
Rank of Cutset Matrix
Matrix Rank = Number of Nodes-1

## Rank of Cutset Matrix Formula

Matrix Rank = Number of Nodes-1
ρ = N-1

## Understanding fundamental cutset matrix

Fundamental cut set or f-cut set is the minimum number of branches that are removed from a graph in such a way that the original graph will become two isolated subgraphs. The f-cut set contains only one twig and one or more links. So, the number of f-cut sets will be equal to the number of twigs. It is represented with letter C

## How to Calculate Rank of Cutset Matrix?

Rank of Cutset Matrix calculator uses Matrix Rank = Number of Nodes-1 to calculate the Matrix Rank, The Rank of Cutset matrix formula gives the rank of cutset matrix. Matrix Rank is denoted by ρ symbol.

How to calculate Rank of Cutset Matrix using this online calculator? To use this online calculator for Rank of Cutset Matrix, enter Number of Nodes (N) and hit the calculate button. Here is how the Rank of Cutset Matrix calculation can be explained with given input values -> 3 = 4-1.

### FAQ

What is Rank of Cutset Matrix?
The Rank of Cutset matrix formula gives the rank of cutset matrix and is represented as ρ = N-1 or Matrix Rank = Number of Nodes-1. Number of Nodes is defined as the junctions where two or more elements are connected.
How to calculate Rank of Cutset Matrix?
The Rank of Cutset matrix formula gives the rank of cutset matrix is calculated using Matrix Rank = Number of Nodes-1. To calculate Rank of Cutset Matrix, you need Number of Nodes (N). With our tool, you need to enter the respective value for 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 Matrix Rank?
In this formula, Matrix Rank uses Number of Nodes. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Matrix Rank = Number of Nodes-1
• Matrix Rank = Number of Nodes-Probability Let Others Know