Arborescence polytopes for series-parallel graphs
نویسندگان
چکیده
منابع مشابه
Circuit and bond polytopes on series-parallel graphs
In this paper, we describe the circuit polytope on series-parallel graphs. We first show the existence of a compact extended formulation. Though not being explicit, its construction process helps us to inductively provide the description in the original space. As a consequence, using the link between bonds and circuits in planar graphs, we also describe the bond polytope on series-parallel graphs.
متن کاملParallel Algorithms for Series Parallel Graphs
In this paper, a parallel algorithm is given that, given a graph G = (V;E), decides whether G is a series parallel graph, and if so, builds a decomposition tree for G of series and parallel composition rules. The algorithm uses O(log jEj log jEj) time and O(jEj) operations on an EREW PRAM, and O(log jEj) time and O(jEj) operations on a CRCW PRAM (note that ifG is a simple series parallel graph,...
متن کاملEquistable series-parallel graphs
A graph is called equistable when there is a non-negative weight function on its vertices such that a set S of vertices has total weight 1 if and only if S is maximal stable. We characterize those series-parallel graphs that are equistable, generalizing results of Mahadev, Peled and Sun about equistable outer-planar graphs.
متن کاملSpace Efficient Algorithms for Series-Parallel Graphs
The subclass of directed series-parallel graphs plays an important role in computer science. To determine whether a graph is series-parallel is a well studied problem in algorithmic graph theory. Fast sequential and parallel algorithms for this problem have been developed in a sequence of papers. For series-parallel graphs methods are also known to solve the reachability and the decomposition p...
متن کاملParallel Recognition of Series-Parallel Graphs
Recently, He and Yesha gave an algorithm for recognizing directed series parallel graphs, in time O(log n) with linearly many EREW processors. We give a new algorithm for this problem, based on a structural characterization of series parallel graphs in terms of their ear decompositions. Our algorithm can recognize undirected as well as directed series parallel graphs. It can be implemented in t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1994
ISSN: 0166-218X
DOI: 10.1016/0166-218x(92)00035-k