Determining Possible Sets of Leaves for Spanning Trees of Dually Chordal Graphs

Pablo De Caria1, Marisa Gutierrez2
1CONICET, Departamento de Matematica, Universidad Nacional de La Plata, C.C. 172, (1900), La Plata, Argentina”
2CONICET, Departamento de Matematica, Universidad Nacional de La Plata, C.C. 172, (1900), La Plata, Argentina

Abstract

It will be proved that the problem of determining whether a set of vertices of a dually chordal graphs is the set of leaves of a tree compatible with it can be solved in polynomial time by establishing a connection with finding clique trees of chordal graphs with minimum number of leaves.