Bipanpositionable graph

Bipanpositionable graph — бипанпропозицируемый граф.

A bipartite hamiltonian graph [math]\displaystyle{ \,G }[/math] is bipanpropositionable if for any two different vertices [math]\displaystyle{ \,x }[/math] and [math]\displaystyle{ \,y }[/math] of [math]\displaystyle{ \,G }[/math] and for any integer [math]\displaystyle{ \,k }[/math] with [math]\displaystyle{ d_{G}(x,y) \leq k \lt |V(G)|/2 }[/math] and [math]\displaystyle{ \,(k - D_{G}(x,y)) }[/math] is even, there exists a hamiltonian cycle [math]\displaystyle{ \,C }[/math] of [math]\displaystyle{ \,G }[/math] such that [math]\displaystyle{ \,d-{C}(x,y) = k }[/math].

Литература

• Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.