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An algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$?

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$begingroup$

Can someone please point me to an algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$.

Given a graph $G$, the line graph $L(G)$ of $G$ is the graph where the vertices represent the edges of $G$, and two vertices are adjacent in $L(G)$ if the corresponding edges in $G$ share a vertex.

For those who are not familiar with line graph you can read about it here: https://en.wikipedia.org/wiki/Line_graph.

Thanks

discrete-mathematics graph-theory

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edited Mar 13 at 9:28

Rócherz

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asked Mar 13 at 8:36

Pranav GargPranav Garg

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Pranav Garg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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0

$begingroup$

Can someone please point me to an algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$.

Given a graph $G$, the line graph $L(G)$ of $G$ is the graph where the vertices represent the edges of $G$, and two vertices are adjacent in $L(G)$ if the corresponding edges in $G$ share a vertex.

For those who are not familiar with line graph you can read about it here: https://en.wikipedia.org/wiki/Line_graph.

Thanks

discrete-mathematics graph-theory

share|cite|improve this question

edited Mar 13 at 9:28

Rócherz

2,9863821

asked Mar 13 at 8:36

Pranav GargPranav Garg

41

New contributor

Pranav Garg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

$begingroup$

Can someone please point me to an algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$.

Given a graph $G$, the line graph $L(G)$ of $G$ is the graph where the vertices represent the edges of $G$, and two vertices are adjacent in $L(G)$ if the corresponding edges in $G$ share a vertex.

For those who are not familiar with line graph you can read about it here: https://en.wikipedia.org/wiki/Line_graph.

Thanks

discrete-mathematics graph-theory

share|cite|improve this question

edited Mar 13 at 9:28

Rócherz

2,9863821

asked Mar 13 at 8:36

Pranav GargPranav Garg

41

New contributor

Pranav Garg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

edited Mar 13 at 9:28

Rócherz

2,9863821

asked Mar 13 at 8:36

Pranav GargPranav Garg

41

New contributor

Pranav Garg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

edited Mar 13 at 9:28

Rócherz

2,9863821

asked Mar 13 at 8:36

Pranav GargPranav Garg

41

New contributor

Pranav Garg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

edited Mar 13 at 9:28

Rócherz

2,9863821

edited Mar 13 at 9:28

Rócherz

2,9863821

asked Mar 13 at 8:36

Pranav GargPranav Garg

41

New contributor

Pranav Garg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 13 at 8:36

Pranav GargPranav Garg

41