ABSTRACT. A formula for the determinant of the distance matrix for a tree as a function of the number of its vertices, independent of the structure of the tree, has been proven by several mathematicians. We explore the details of the proof by Weigen Yan and Yeong-NanYeh, look at the history of the topic, and see the theorem in action b
Abstract. A bidirected tree is a tree in which each edge is replaced by two arcs in either direction...
AbstractFor a tree T on n vertices, let D(T)=(dij) denote the distance matrix of T, i.e., dij(T) is ...
Let T be a tree with vertex set {1, …, n} such that each edge is assigned a nonzero weight. The squa...
Let T be a tree with n vertices and let D be the distance matrix of T. According to a classical resu...
AbstractLet T be a tree with n vertices and let D be the distance matrix of T. According to a classi...
Distance matrices of graphs, particularly trees, have been investigated to a great extent in the lit...
AbstractGraham and Pollak [Bell System Tech. J. 50 (1971) 2495–2519] obtained a beautiful formula on...
AbstractWe consider distance matrices of certain graphs and of points chosen in a rectangular grid. ...
We consider distance matrices of certain graphs and of points chosen in a rectangular grid. Formulae...
The determinant and the inverse of the distance matrix of a tree have been investigated in the liter...
The determinant and the inverse of the distance matrix of a tree have been investigated in the liter...
AbstractGraham and Pollak [Bell System Tech. J. 50 (1971) 2495–2519] obtained a beautiful formula on...
Let G be a strongly connected, weighted directed graph. We define a product distance eta(i, j) for p...
A bidirected tree is a tree in which each edge is replaced by two arcs in either direction. Formulas...
AbstractLet G be a finite connected graph. If x and y are vertices of G, one may define a distance f...
Abstract. A bidirected tree is a tree in which each edge is replaced by two arcs in either direction...
AbstractFor a tree T on n vertices, let D(T)=(dij) denote the distance matrix of T, i.e., dij(T) is ...
Let T be a tree with vertex set {1, …, n} such that each edge is assigned a nonzero weight. The squa...
Let T be a tree with n vertices and let D be the distance matrix of T. According to a classical resu...
AbstractLet T be a tree with n vertices and let D be the distance matrix of T. According to a classi...
Distance matrices of graphs, particularly trees, have been investigated to a great extent in the lit...
AbstractGraham and Pollak [Bell System Tech. J. 50 (1971) 2495–2519] obtained a beautiful formula on...
AbstractWe consider distance matrices of certain graphs and of points chosen in a rectangular grid. ...
We consider distance matrices of certain graphs and of points chosen in a rectangular grid. Formulae...
The determinant and the inverse of the distance matrix of a tree have been investigated in the liter...
The determinant and the inverse of the distance matrix of a tree have been investigated in the liter...
AbstractGraham and Pollak [Bell System Tech. J. 50 (1971) 2495–2519] obtained a beautiful formula on...
Let G be a strongly connected, weighted directed graph. We define a product distance eta(i, j) for p...
A bidirected tree is a tree in which each edge is replaced by two arcs in either direction. Formulas...
AbstractLet G be a finite connected graph. If x and y are vertices of G, one may define a distance f...
Abstract. A bidirected tree is a tree in which each edge is replaced by two arcs in either direction...
AbstractFor a tree T on n vertices, let D(T)=(dij) denote the distance matrix of T, i.e., dij(T) is ...
Let T be a tree with vertex set {1, …, n} such that each edge is assigned a nonzero weight. The squa...