The induced paths in a connected graph and a ternary relation determined by them
Ladislav Nebeský (2002)
Mathematica Bohemica
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By a ternary structure we mean an ordered pair , where is a finite nonempty set and is a ternary relation on . By the underlying graph of a ternary structure we mean the (undirected) graph with the properties that is its vertex set and distinct vertices and of are adjacent if and only if A ternary structure is said to be the B-structure of a connected graph if is the vertex set of and the following statement holds for all : if and only if belongs to an...