Number of Links in any Graph Calculator

✖Simple Graph Branches refers to connecting links between the edges of a simple graph.ⓘ Simple Graph Branches [b]			+10% -10%
✖Nodes is defined as the junctions where two or more elements are connected.ⓘ Nodes [N]			+10% -10%

✖Simple Graph Links refers to the branches of co-tree, i.e., those elements of the connected graph that are not included in the tree links and forms a sub graph.ⓘ Number of Links in any Graph [L]

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Formula

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Number of Links in any Graph

Formula

`"L" = "b"-"N"+1`

Example

`"3"="8"-"6"+1`

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Number of Links in any Graph Solution

STEP 0: Pre-Calculation Summary

Formula Used

Simple Graph Links = Simple Graph Branches-Nodes+1
L = b-N+1
This formula uses 3 Variables

Variables Used

Simple Graph Links - Simple Graph Links refers to the branches of co-tree, i.e., those elements of the connected graph that are not included in the tree links and forms a sub graph.
Simple Graph Branches - Simple Graph Branches refers to connecting links between the edges of a simple graph.
Nodes - Nodes is defined as the junctions where two or more elements are connected.

STEP 1: Convert Input(s) to Base Unit

Simple Graph Branches: 8 --> No Conversion Required
Nodes: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = b-N+1 --> 8-6+1

Evaluating ... ...

L = 3

STEP 3: Convert Result to Output's Unit

3 --> No Conversion Required

FINAL ANSWER

3 <-- Simple Graph Links

(Calculation completed in 00.020 seconds)

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Created by swetha samavedam

Delhi Technological University (DTU), 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

Number of Links in any Graph Formula

Simple Graph Links = Simple Graph Branches-Nodes+1
L = b-N+1

What are links?

Links are the branches of co tree. Where as twigs are the edges of a tree. The links are not part of any loop. Links are those elements of the connected graph that are not included in the tree links and form a subgraph

What is a co tree?

When, a graph is formed from an electric network, some selective branches are taken. The branches of the network which are not in tree formation are referred as links or chords. The graph formed by these links or chords is called cotree. Cotree can be closed or open depending upon the links.

How to Calculate Number of Links in any Graph?

Number of Links in any Graph calculator uses Simple Graph Links = Simple Graph Branches-Nodes+1 to calculate the Simple Graph Links, The Number of links in any graph formula gives the number of branches of a co tree. Simple Graph Links is denoted by L symbol.

How to calculate Number of Links in any Graph using this online calculator? To use this online calculator for Number of Links in any Graph, enter Simple Graph Branches (b) & Nodes (N) and hit the calculate button. Here is how the Number of Links in any Graph calculation can be explained with given input values -> 3 = 8-6+1.

FAQ

What is Number of Links in any Graph?

The Number of links in any graph formula gives the number of branches of a co tree and is represented as L = b-N+1 or Simple Graph Links = Simple Graph Branches-Nodes+1. Simple Graph Branches refers to connecting links between the edges of a simple graph & Nodes is defined as the junctions where two or more elements are connected.

How to calculate Number of Links in any Graph?

The Number of links in any graph formula gives the number of branches of a co tree is calculated using Simple Graph Links = Simple Graph Branches-Nodes+1. To calculate Number of Links in any Graph, you need Simple Graph Branches (b) & Nodes (N). With our tool, you need to enter the respective value for Simple Graph Branches & 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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