Graph adjacency matrix to incidence matrix

Conversion from graph adjacency matrix to incidence matrix.

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Returns a sparse incidence matrix 'mInc' according to the adjacency matrix 'mAdj'. The edge ordering in the incidence matrix is according to the order of adjacent edges of vertices starting from the 1st vertex, i.e. first edges coincide with first vertex, next edges coincide with second vertex, etc.
If the graph is directed, the incidence matrix mInc contains -1s, indicating an "in-going" edge, and 1s indicating an "out-going" edge.
If the graph is undirected, the incidence matrix mInc contains only 1s.

Cite As

Ondrej (2026). Graph adjacency matrix to incidence matrix (https://www.mathworks.com/matlabcentral/fileexchange/24661-graph-adjacency-matrix-to-incidence-matrix), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.11.0.0

new optional parameter: adj2inc(A,0)= directed, graph,adj2inc(A,1) = undirected graph

1.10.0.0

function renamed to adj2inc() + speed-up

1.6.0.0

faster check for matrix symmetry (minor speed-up)

1.5.0.0

warning identifier added + minor comments

1.4.0.0

Self-loops check added (Thanks to Wolfgang Schwanghart)

1.2.0.0

Major speed-up update thanks to Wolfgang Schwanghart

1.1.0.0

Error handling added + new comments

1.0.0.0