The restrictive H-coloring problem
نویسندگان
چکیده
We define a variant of the H-coloring problem where the number of preimages of certain vertices is predetermined as part of the problem input. We consider the decision and the counting version of the problem, namely the restrictive H-coloring and the restrictive #H-coloring problems, and we provide a dichotomy theorem determining the H’s for which the restrictive H-coloring problem is either NP-complete or polynomial time solvable. Moreover, we prove that the same criterion discriminates the #P-complete and the polynomially solvable cases of the restrictive #H-coloring problem. Finally, we show that both our results apply also for the list versions and other extensions of the problems.
منابع مشابه
Complexity issues on bounded restrictive H-coloring
We consider a bounded version of the restrictive and the restrictive list H-coloring problem in which the number of pre-images of certain vertices of H is taken as parameter. We consider the decision and the counting versions, as well as, further variations of those problems. We provide complexity results identifying the cases when the problems are NP-complete or #P-complete or polynomial time ...
متن کاملA new Simulated Annealing algorithm for the robust coloring problem
The Robust Coloring Problem (RCP) is a generalization of the well-known Graph Coloring Problem where we seek for a solution that remains valid when extra edges are added. The RCP is used in scheduling of events with possible last-minute changes and study frequency assignments of the electromagnetic spectrum. This problem has been proved as NP-hard and in instances larger than 30 vertices, meta-...
متن کاملThe permutation-path coloring problem on trees
In this paper we rst show that the permutation-path coloring problem is NP-hard even for very restrictive instances like involutions, which are permutations that contain only cycles of length at most two, on both binary trees and on trees having only two vertices with degree greater than two, and for circular permutations which are permutations that contain exactly one cycle on trees with maxim...
متن کاملA modified dna computing approach to tackle the exponential solution space of the graph coloring problem
Although it has been evidenced that DNA computing is able to solve the graph coloring problem in a polynomial time complexity, but the exponential solution space is still a restrictive factor in applying this technique for solving really large problems. In this paper a modified DNA computing approach based on Adleman-Lipton model is proposed which tackles the mentioned restriction by coloring t...
متن کاملEffects of Restrictive Fluid Management in Transient Tachypnea in Neonates
Background: The transient tachypnea is a common respiratory problem in the neonate. One of the significant issues in pathophysiology of this disorder is the delayed reabsorption of the fluid by the neonate’s lungs and the effusion of fluid in the lungs. The purpose of this study is to evaluate the effects of restrictive fluid management in transient tachypnea of the neonate. Methods: The presen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Discrete Applied Mathematics
دوره 145 شماره
صفحات -
تاریخ انتشار 2005