Number of Branches in Complete Graph Calculator

✖Nodes is defined as the junctions where two or more elements are connected.ⓘ Nodes [N]

+10%

-10%

✖Complete Graph Branches is defined as the total number of connection between the vertices of a Complete Graph.ⓘ Number of Branches in Complete Graph [b_c]

⎘ Copy

👎

Formula

✖

Number of Branches in Complete Graph

Formula

`"b"_{"c"} = ("N"*("N"-1))/2`

Example

`"15"=("6"*("6"-1))/2`

Calculator

LaTeX

Reset

👍

Download Circuit Graph Theory Formulas PDF

Number of Branches in Complete Graph Solution

STEP 0: Pre-Calculation Summary

Formula Used

Complete Graph Branches = (Nodes*(Nodes-1))/2
b_c = (N*(N-1))/2
This formula uses 2 Variables

Variables Used

Complete Graph Branches - Complete Graph Branches is defined as the total number of connection between the vertices of a Complete Graph.
Nodes - Nodes is defined as the junctions where two or more elements are connected.

STEP 1: Convert Input(s) to Base Unit

Nodes: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_c = (N*(N-1))/2 --> (6*(6-1))/2

Evaluating ... ...

b_c = 15

STEP 3: Convert Result to Output's Unit

15 --> No Conversion Required

FINAL ANSWER

15 <-- Complete Graph Branches

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Circuit Graph Theory » Number of Branches in Complete Graph

Credits

Created by swetha samavedam

Delhi Technological University (DTU), delhi

swetha samavedam has created this Calculator and 10+ more calculators!

Verified by Default User Name

Default Institute Name (Default Institute Short Name), Default Institute Location

Default User Name has verified this Calculator and 1 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

Number of Branches in Complete Graph Formula

Complete Graph Branches = (Nodes*(Nodes-1))/2
b_c = (N*(N-1))/2

What is a complete graph?

It is also called as standard graph. In a complete graph, between any pair of nodes, one branch is connected for all the combinations.

What is node(or point) and a edge(or vertex)?

A node or vertex is a point where multiple lines meet. It is also called a node. Similar to points, a vertex is also denoted by an alphabet.

An edge is the mathematical term for a line that connects two vertices. Many edges can be formed from a single vertex. Without a vertex, an edge cannot be formed. There must be a starting vertex and an ending vertex for an edge.

How to Calculate Number of Branches in Complete Graph?

Number of Branches in Complete Graph calculator uses Complete Graph Branches = (Nodes*(Nodes-1))/2 to calculate the Complete Graph Branches, The Number of Branches in complete Graph formula gives the number of branches of a complete graph, when number of nodes are known. Complete Graph Branches is denoted by b_c symbol.

How to calculate Number of Branches in Complete Graph using this online calculator? To use this online calculator for Number of Branches in Complete Graph, enter Nodes (N) and hit the calculate button. Here is how the Number of Branches in Complete Graph calculation can be explained with given input values -> 15 = (6*(6-1))/2.

FAQ

What is Number of Branches in Complete Graph?

The Number of Branches in complete Graph formula gives the number of branches of a complete graph, when number of nodes are known and is represented as b_c = (N*(N-1))/2 or Complete Graph Branches = (Nodes*(Nodes-1))/2. Nodes is defined as the junctions where two or more elements are connected.

How to calculate Number of Branches in Complete Graph?

The Number of Branches in complete Graph formula gives the number of branches of a complete graph, when number of nodes are known is calculated using Complete Graph Branches = (Nodes*(Nodes-1))/2. To calculate Number of Branches in Complete Graph, you need Nodes (N). With our tool, you need to enter the respective value for Nodes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search