Figure 1 is a triangular graph in which the axes represent the percentages of the votes cast for the three parties together which were won by the Conservative (C), Labour (L) and Liberal Democrat Parties (D).
Rather than adopt the procedure of looking at each party separately as suggested by Rose, however, we have derived two new measures of shifts in three-party systems which are based on use of the triangular graph.
It has long been recognized that the distribution of constituencies according to the percentage of votes among three parties can be depicted using triangular graphs (see Gudgin and Taylor 1979; Miller 1977; Upton 1976; and Stray and Upton 1989).
More recently, triangular graphs have been used to portray changes in the three-party distribution of the vote, using arrows to depict the shift from one election to the next.
Papers address a variety of topics, including: expressing cardinality quantifiers in monadic second-order logic over trees; forcing and type theory; structures with multirelations, their discrete dualities and applications; a local version of the MLEM2 algorithm for rule induction; local computations on triangular graphs
, and approximation spaces in rough-granular computing.