Average Path Length between Connected Nodes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Path Length = ln(Nodes)/ln(Average Degree)
LPath = 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
LPath = ln(N)/ln(k) --> ln(6)/ln(4.5)
Evaluating ... ...
LPath = 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)

Credits

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Created by Parminder Singh
Chandigarh University (CU), Punjab
Parminder Singh has created this Calculator and 100+ more calculators!
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Verified by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
Aman Dhussawat has verified this Calculator and 100+ more calculators!

Circuit Graph Theory Calculators

Number of Links in any Graph
​ LaTeX ​ Go Simple Graph Links = Simple Graph Branches-Nodes+1
Number of Branches in Complete Graph
​ LaTeX ​ Go Complete Graph Branches = (Nodes*(Nodes-1))/2
Rank of Incidence Matrix
​ LaTeX ​ Go Matrix Rank = Nodes-1
Rank of Cutset Matrix
​ LaTeX ​ Go Matrix Rank = Nodes-1

Average Path Length between Connected Nodes Formula

​LaTeX ​Go
Average Path Length = ln(Nodes)/ln(Average Degree)
LPath = 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 LPath 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 LPath = 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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