Croatica Chemica Acta, Vol. 68 No. 1, 1995.
Original scientific paper
The Distance Matrix for a Simplex
Darko Veljan
; Department of Mathematics, University of Zagreb, Bijenička c. 30, 41000 Zagreb, Croatia
Abstract
In this paper we consider some geometric questions relating to a
higher dimensional analogon of a triangle, called simplex. In particular, weshall be concerned with the distance matrix of its vertices. We shall also majorize the volume of a simplex in terms of the distances between vertices. As consequences, we shall derive some inequalities for determinants and, in particular, an improvement of the well-known Hadamard's inequality. We shall also point to some possible applications to the chemical graph theory.
Keywords
Hrčak ID:
176543
URI
Publication date:
1.2.1995.
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