Rank for Incidence Matrix using Probability Calculator

✖Nodes is defined as the junctions where two or more elements are connected.ⓘ Nodes [N]			+10% -10%
✖Node Connection Probability is defined as the chances of a edge being connected to other edges.ⓘ Node Connection Probability [p]			+10% -10%

✖The Matrix Rank refers to the number of linearly independent rows or columns in the matrix.ⓘ Rank for Incidence Matrix using Probability [ρ]

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Formula

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Rank for Incidence Matrix using Probability

Formula

`"ρ" = "N"-"p"`

Example

`"5"="6"-"0.75"`

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Rank for Incidence Matrix using Probability Solution

STEP 0: Pre-Calculation Summary

Formula Used

Matrix Rank = Nodes-Node Connection Probability
ρ = N-p
This formula uses 3 Variables

Variables Used

Matrix Rank - The Matrix Rank refers to the number of linearly independent rows or columns in the matrix.
Nodes - Nodes is defined as the junctions where two or more elements are connected.
Node Connection Probability - Node Connection Probability is defined as the chances of a edge being connected to other edges.

STEP 1: Convert Input(s) to Base Unit

Nodes: 6 --> No Conversion Required
Node Connection Probability: 0.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = N-p --> 6-0.75

Evaluating ... ...

ρ = 5.25

STEP 3: Convert Result to Output's Unit

5.25 --> No Conversion Required

FINAL ANSWER

5.25 ≈ 5 <-- Matrix Rank

(Calculation completed in 00.004 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

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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

Rank for Incidence Matrix using Probability Formula

Matrix Rank = Nodes-Node Connection Probability
ρ = N-p

What is Orientation in graph theory?

An orientation of a circuit subgraph is an alternating sequence of
its vertices and edges, without repetitions except for the first vertex
being also the last (note that each edge is incident on the preceding
and succeeding vertices). Two orientations are equivalent if one can
be obtained by a cyclic shift of the other.

How to Calculate Rank for Incidence Matrix using Probability?

Rank for Incidence Matrix using Probability calculator uses Matrix Rank = Nodes-Node Connection Probability to calculate the Matrix Rank, The Rank for Incidence Matrix using Probability is defined as the rank of an incidence matrix created for a electrical network graph. Matrix Rank is denoted by ρ symbol.

How to calculate Rank for Incidence Matrix using Probability using this online calculator? To use this online calculator for Rank for Incidence Matrix using Probability, enter Nodes (N) & Node Connection Probability (p) and hit the calculate button. Here is how the Rank for Incidence Matrix using Probability calculation can be explained with given input values -> 5 = 6-0.75.

FAQ

What is Rank for Incidence Matrix using Probability?

The Rank for Incidence Matrix using Probability is defined as the rank of an incidence matrix created for a electrical network graph and is represented as ρ = N-p or Matrix Rank = Nodes-Node Connection Probability. Nodes is defined as the junctions where two or more elements are connected & Node Connection Probability is defined as the chances of a edge being connected to other edges.

How to calculate Rank for Incidence Matrix using Probability?

The Rank for Incidence Matrix using Probability is defined as the rank of an incidence matrix created for a electrical network graph is calculated using Matrix Rank = Nodes-Node Connection Probability. To calculate Rank for Incidence Matrix using Probability, you need Nodes (N) & Node Connection Probability (p). With our tool, you need to enter the respective value for Nodes & Node Connection Probability 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 Nodes & Node Connection Probability. We can use 2 other way(s) to calculate the same, which is/are as follows -

Matrix Rank = Nodes-1
Matrix Rank = Nodes-1

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