Directed minimum cost spanning tree problems of a special kind are studied, namely those which show up in considering the problem of connecting units (houses) in mountains with a purifier. For such problems an easy method is described to obtain a minimum cost spanning tree. The related cost...

The special class of conservative charge systems for minimum cost spanning tree (mcst) situations is introduced. These conservative charge systems lead to single-valued rules for mcst situations, which can also be described with the aid of obligation functions and are, consequently, cost...

A new way is presented to define for minimum cost spanning tree (mcst-) games the irreducible core, which is introduced by Bird in 1976. The Bird core correspondence turns out to have interesting monotonicity and additivity properties and each stable cost monotonic allocation rule for...