Average Degree Calculator

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

✖Average Degree is defined as the product of number of edges incident on a node and the probability of the pair being connected.ⓘ Average Degree [k]

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Formula

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Average Degree

Formula

`"k" = "p"*"N"`

Example

`"4.5"="0.75"*"6"`

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Average Degree Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Degree = Node Connection Probability*Nodes
k = p*N
This formula uses 3 Variables

Variables Used

Average Degree - Average Degree is defined as the product of number of edges incident on a node and the probability of the pair being connected.
Node Connection Probability - Node Connection Probability is defined as the chances of a edge being connected to other edges.
Nodes - Nodes is defined as the junctions where two or more elements are connected.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = p*N --> 0.75*6

Evaluating ... ...

k = 4.5

STEP 3: Convert Result to Output's Unit

4.5 --> No Conversion Required

FINAL ANSWER

4.5 <-- Average Degree

(Calculation completed in 00.004 seconds)

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Credits

Created by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has created this Calculator and 100+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has verified this Calculator and 100+ more calculators!

< 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

Average Degree Formula

Average Degree = Node Connection Probability*Nodes
k = p*N

What is a degree?

A degree is defined as the number of edges incident on a node in a electrical network graph. Is is of two types inward degree and outward degree.

How to Calculate Average Degree?

Average Degree calculator uses Average Degree = Node Connection Probability*Nodes to calculate the Average Degree, Average Degree is defined as the product of number of edges incident on a node and the probability of the pair being connected. Average Degree is denoted by k symbol.

How to calculate Average Degree using this online calculator? To use this online calculator for Average Degree, enter Node Connection Probability (p) & Nodes (N) and hit the calculate button. Here is how the Average Degree calculation can be explained with given input values -> 4.5 = 0.75*6.

FAQ

What is Average Degree?

Average Degree is defined as the product of number of edges incident on a node and the probability of the pair being connected and is represented as k = p*N or Average Degree = Node Connection Probability*Nodes. Node Connection Probability is defined as the chances of a edge being connected to other edges & Nodes is defined as the junctions where two or more elements are connected.

How to calculate Average Degree?

Average Degree is defined as the product of number of edges incident on a node and the probability of the pair being connected is calculated using Average Degree = Node Connection Probability*Nodes. To calculate Average Degree, you need Node Connection Probability (p) & Nodes (N). With our tool, you need to enter the respective value for Node Connection Probability & Nodes 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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