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Here is a list of some terms used in the context of this package and their definitions.

A

  • AGNES : AGglomerative NESting.
  • AHC : Agglomerative Hierarchical Clustering.
  • AHR : Agglomerative Hierarchical Regionalisation.
  • Articulation point : Vertex of a graph whose removal increases the number of connected components (separator set consisting of a single vertex).

C

  • CHI : Caliński-Harabasz Index.
  • CLINK : Complete Linkage.
  • Coarse partition : Partition composed of a single cluster.
  • Compact cluster : Homogeneous cluster.
  • Compact partition : Partition where all clusters are compact.
  • Complete graph : Simple graph in which all nodes are adjacent to each other.
  • Connected component : Maximal connected subset with respect to inclusion.
  • Connected graph : Undirected graph where any vertex is accessible from any other vertex by passing only through the vertices of this set.

F

  • Feasible solution : A partition that respects all constraints (contiguity, size…).
  • Finite graph : Graph with a finite number of vertices.

I

  • Interior boundary of a partition : Set of elements contiguous to an element of another cluster.

M

  • Minimal separator set : Separator set such that no strict subset is a separator set.

R

  • Region : Connected cluster.
  • Regionalisation : Partition where all clusters are regions.
  • Regionalization : Partition where all clusters are regions.

S

  • SLINK : Single Linkage.
  • Separate partition : Partition where all clusters are well separated pairwise.
  • Separator set : Set of vertices of an undirected graph whose removal would create more connected components.
  • Simple undirected graph : Undirected graph without loops and in which each pair of vertices has at most one edge.

T

  • Totally contiguous : Set in which each element is contiguous with all the others. The associated contiguity graph is complete.
  • Transferrable point : For regionalization, a point that can be transmitted from one region to another while maintaining the connectivity of the regions.
  • Trivial partition : Partition composed of one cluster per element of the set.

V

  • Vertex connectivity degree : For a non-empty connected undirected graph, the cardinality of the smallest separator set.