Hamiltonian Problems for Reducible Flowgraphs

نویسندگان

  • Oswaldo Vernet
  • Lilian Markenzon
چکیده

In this paper, we discuss hamiltonian problems for reducible Powgraphs. The main result is finding, in linear time, the unique hamiltonian cycle, if it exists. In order to obtain this result, two other related problems are solved: finding the hamiltonian path starting at the source vertex and finding the hamiltonian cycle given the hamiltonian path.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Flow Hypergraph Reducibility

Reducible flowgraphs were introduced by [3, 4] to analyse the control flow of a computer program. Although they were initially used in code optimisation algorithms, several theoretical problems have been studied for the class [5, 6]. A reducible flowgraph G = (V,E, s) is a digraph such that any depth-first search (DFS) on G starting at s determines the same set of back arcs. The characterisatio...

متن کامل

A New Elimination-Based Data Flow Analysis Framework Using Annotated Decomposition Trees

We introduce a new framework for elimination-based data flow analysis. We present a simple algorithm and a delayed algorithm that exhibit a worstcase complexity of O(n) and Õ(m). The algorithms use a new compact data structure for representing reducible flow graphs called Annotated Decomposition Trees. This data structure extends a binary tree to represent flowgraph information, dominance relat...

متن کامل

Dilations‎, ‎models‎, ‎scattering and spectral problems of 1D discrete Hamiltonian systems

In this paper, the maximal dissipative extensions of a symmetric singular 1D discrete Hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the Hilbert space ℓ_{Ω}²(Z;C²) (Z:={0,±1,±2,...}) are considered. We consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. For each of these cases we establish a self...

متن کامل

Regular Reduction of Controlled Hamiltonian System with Symplectic Structure and Symmetry

In this paper, our goal is to study the regular reduction theory of regular controlled Hamiltonian (RCH) systems with symplectic structure and symmetry, and this reduction is an extension of regular symplectic reduction theory of Hamiltonian systems under regular controlled Hamiltonian equivalence conditions. Thus, in order to describe uniformly RCH systems defined on a cotangent bundle and on ...

متن کامل

The Hamiltonian approach in classification and integrability of hydrodynamic chains

New approach in classification of integrable hydrodynamic chains is established. This is the method of the Hamiltonian hydrodynamic reductions. Simultaneously, this approach yields explicit Hamiltonian hydrodynamic reductions of the Hamiltonian hydrodynamic chains. The concept of reducible Poisson brackets is established. Also this approach is useful for non-Hamiltonian hydrodynamic chains. The...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997