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Average Path Length between Connected Nodes Formula

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Average Path Length is defined as the mathematical average between connected nodes in a electrical network graph. Check FAQs

L Path = \frac{\ln (N)}{\ln (k)}

L_Path - Average Path Length?N - Nodes?k - Average Degree?

Average Path Length between Connected Nodes Example

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Here is how the Average Path Length between Connected Nodes equation looks like with Values.

Here is how the Average Path Length between Connected Nodes equation looks like with Units.

Here is how the Average Path Length between Connected Nodes equation looks like.

1.1913 = \frac{\ln (6)}{\ln (4.5)}

1.1913 = \frac{\ln (6)}{\ln (4.5)}

1.1913 = \frac{\ln (6)}{\ln (4.5)}

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Average Path Length between Connected Nodes Solution

Follow our step by step solution on how to calculate Average Path Length between Connected Nodes?

FIRST Step Consider the formula

L Path = \frac{\ln (N)}{\ln (k)}

Next Step Substitute values of Variables

∴

L Path = \frac{\ln (6)}{\ln (4.5)}

Next Step Prepare to Evaluate

∴

L Path = \frac{\ln (6)}{\ln (4.5)}

Next Step Evaluate

∴

L Path = 1.19126813092756

LAST Step Rounding Answer

∴

L Path = 1.1913

Average Path Length between Connected Nodes Formula Elements

Variables

Functions

Average Path Length

Average Path Length is defined as the mathematical average between connected nodes in a electrical network graph.

Symbol: L_Path

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Average Path Length

Nodes

Nodes is defined as the junctions where two or more elements are connected.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Nodes

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.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Average Degree

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Circuit Graph Theory category

Go Number of Branches in Complete Graph

b c = \frac{N \cdot (N - 1)}{2}

Go Number of Links in any Graph

L = b - N + 1

Go Rank of Incidence Matrix

ρ = N - 1

Go Rank of Cutset Matrix

ρ = N - 1

How to Evaluate Average Path Length between Connected Nodes?

Average Path Length between Connected Nodes evaluator uses Average Path Length = ln(Nodes)/ln(Average Degree) to evaluate 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 evaluate Average Path Length between Connected Nodes using this online evaluator? To use this online evaluator for Average Path Length between Connected Nodes, enter Nodes (N) & Average Degree (k) and hit the calculate button.

FAQs on Average Path Length between Connected Nodes

What is the formula to find Average Path Length between Connected Nodes?

The formula of Average Path Length between Connected Nodes is expressed as Average Path Length = ln(Nodes)/ln(Average Degree). Here is an example- 1.191268 = ln(6)/ln(4.5).

How to calculate Average Path Length between Connected Nodes?

With Nodes (N) & Average Degree (k) we can find Average Path Length between Connected Nodes using the formula - Average Path Length = ln(Nodes)/ln(Average Degree). This formula also uses Natural Logarithm (ln) function(s).

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Average Path Length between Connected Nodes Formula

Average Path Length between Connected Nodes Example

Average Path Length between Connected Nodes Solution

Average Path Length between Connected Nodes Formula Elements

Other formulas in Circuit Graph Theory category

How to Evaluate Average Path Length between Connected Nodes?

FAQs on Average Path Length between Connected Nodes

Variable Name