Average Path Length between Connected Nodes Calculator

✖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]			+10% -10%

✖Average Path Length is defined as the mathematical average between connected nodes in a electrical network graph.ⓘ Average Path Length between Connected Nodes [L_Path]

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Formula

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Average Path Length between Connected Nodes

Formula

`"L"_{"Path"} = ln("N")/ln("k")`

Example

`"1.191268"=ln("6")/ln("4.5")`

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Average Path Length between Connected Nodes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Path Length = ln(Nodes)/ln(Average Degree)
L_Path = ln(N)/ln(k)
This formula uses 1 Functions, 3 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Average Path Length - Average Path Length is defined as the mathematical average between connected nodes in a electrical network graph.
Nodes - Nodes is defined as the junctions where two or more elements are connected.
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.

STEP 1: Convert Input(s) to Base Unit

Nodes: 6 --> No Conversion Required
Average Degree: 4.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Path = ln(N)/ln(k) --> ln(6)/ln(4.5)

Evaluating ... ...

L_Path = 1.19126813092756

STEP 3: Convert Result to Output's Unit

1.19126813092756 --> No Conversion Required

FINAL ANSWER

1.19126813092756 ≈ 1.191268 <-- Average Path Length

(Calculation completed in 00.004 seconds)

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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

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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

Average Path Length between Connected Nodes Formula

Average Path Length = ln(Nodes)/ln(Average Degree)
L_Path = ln(N)/ln(k)

What is Topological Distance?

Topological Distance is defined as the shortest or minimum distance between any two connected nodes in an electrical network graph.

How to Calculate Average Path Length between Connected Nodes?

Average Path Length between Connected Nodes calculator uses Average Path Length = ln(Nodes)/ln(Average Degree) to calculate the Average Path Length, Average Path Length between Connected Nodes is defined as the mathematical average between connected nodes in a electrical network graph. Average Path Length is denoted by L_Path symbol.

How to calculate Average Path Length between Connected Nodes using this online calculator? To use this online calculator for Average Path Length between Connected Nodes, enter Nodes (N) & Average Degree (k) and hit the calculate button. Here is how the Average Path Length between Connected Nodes calculation can be explained with given input values -> 1.191268 = ln(6)/ln(4.5).

FAQ

What is Average Path Length between Connected Nodes?

Average Path Length between Connected Nodes is defined as the mathematical average between connected nodes in a electrical network graph and is represented as L_Path = ln(N)/ln(k) or Average Path Length = ln(Nodes)/ln(Average Degree). Nodes is defined as the junctions where two or more elements are connected & Average Degree is defined as the product of number of edges incident on a node and the probability of the pair being connected.

How to calculate Average Path Length between Connected Nodes?

Average Path Length between Connected Nodes is defined as the mathematical average between connected nodes in a electrical network graph is calculated using Average Path Length = ln(Nodes)/ln(Average Degree). To calculate Average Path Length between Connected Nodes, you need Nodes (N) & Average Degree (k). With our tool, you need to enter the respective value for Nodes & Average Degree 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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