boundary: Compute the boundary operator for a simplicial complex
In SimplicialComplex: Topological Data Analysis: Simplicial Complex
boundary R Documentation
Compute the boundary operator for a simplicial complex
Description
Compute the boundary operator for a simplicial complex
Usage
boundary(simplices, bound_dim)
Arguments
simplices
A list of simplices (each a numeric vector).
bound_dim
The dimension k of the boundary operator \partial_{k}.
Details
\partial_k \sigma = \sum_i (-1)^i [v_0 v_1 \ldots \hat{v}_i \ldots v_k]
Value
A sparse matrix representing \partial_{k}.
Examples
simplices <- list(c(1, 2), c(3, 4), c(2, 1, 3), c(4, 2))
boundary(simplices, 0)
SimplicialComplex documentation built on Nov. 5, 2025, 7:40 p.m.
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| boundary | R Documentation |
Compute the boundary operator for a simplicial complex
Description
Compute the boundary operator for a simplicial complex
Usage
boundary(simplices, bound_dim)
Arguments
simplices |
A list of simplices (each a numeric vector). |
bound_dim |
The dimension k of the boundary operator |
Details
\partial_k \sigma = \sum_i (-1)^i [v_0 v_1 \ldots \hat{v}_i \ldots v_k]
Value
A sparse matrix representing \partial_{k}.
Examples
simplices <- list(c(1, 2), c(3, 4), c(2, 1, 3), c(4, 2))
boundary(simplices, 0)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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