Contiguity distance between simplicial maps

For simplicial complexes and maps, the notion of being in same contiguity class is defined as discrete version homotopy. In this paper, we study distance, $SD$, between two maps adapted from homotopic distance. particular, show that versions $LS$-category topological complexity are particular cases more general notion. Moreover, present behaviour $SD$ under barycentric subdivision, its relation with strong collapsibility a complex.