INVESTIGADORES
ESCALANTE Mariana Silvina
congresos y reuniones científicas
Título:
The 2-doinating set polytope of cycles and related graphs classes
Autor/es:
ARGIROFFO, GABRIELA; ESCALANTE, MARIANA SILVINA; UGARTE, MARIA ELISA
Lugar:
Playa del Carmen
Reunión:
Simposio; LAGOS 2013- VII Latin American Algorithms, Graphs and Optimization Symposium; 2013
Resumen:
Given a graph G and a nonnegative integer number k, a k-dominating set in G is
a subset of vertices D such that every vertex in the graph is adjacent to at least kG and a nonnegative integer number k, a k-dominating set in G is
a subset of vertices D such that every vertex in the graph is adjacent to at least kD such that every vertex in the graph is adjacent to at least k
elements of D. The k-dominating set polytope is the convex hull of the incidence
vectors of k-dominating sets in G. This is a natural generalization of the well-known
dominating set polytope in graphs. In this work we present a complete description
of the 2-dominating set polytope of cycles and show that every facet of this polytope
can be separated in polynomial time. We use our ndings to derive facets of the
2-dominating set polytope of cacti, i.e. graphs obtained as 1-sum of cycles and
edges.D. The k-dominating set polytope is the convex hull of the incidence
vectors of k-dominating sets in G. This is a natural generalization of the well-known
dominating set polytope in graphs. In this work we present a complete description
of the 2-dominating set polytope of cycles and show that every facet of this polytope
can be separated in polynomial time. We use our ndings to derive facets of the
2-dominating set polytope of cacti, i.e. graphs obtained as 1-sum of cycles and
edges.k-dominating sets in G. This is a natural generalization of the well-known
dominating set polytope in graphs. In this work we present a complete description
of the 2-dominating set polytope of cycles and show that every facet of this polytope
can be separated in polynomial time. We use our ndings to derive facets of the
2-dominating set polytope of cacti, i.e. graphs obtained as 1-sum of cycles and
edges.