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Leaps: an approach to the block structure of a graph

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  • Mulder, H.M.
  • Nebesky, L.

Abstract

To study the block structure of a connected graph G=(V,E), we introduce two algebraic approaches that reflect this structure: a binary operation + called a leap operation and a ternary relation L called a leap system, both on a finite, nonempty set V. These algebraic structures are easily studied by considering their underlying graphs, which turn out to be block graphs. Conversely, we define the operation +G as well as the set of leaps LG of the connected graph G. The underlying graph of +G , as well as that of LG , turns out to be just the block closure of G (i.e. the graph obtained by making each block of G into a complete subgraph).

Suggested Citation

  • Mulder, H.M. & Nebesky, L., 2004. "Leaps: an approach to the block structure of a graph," Econometric Institute Research Papers EI 2004-49, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1827
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