Graph Domination, Tabu Search and the Football Pool Problem
نویسندگان
چکیده
We describe the use of a tabu search algorithm for generating near minimum dominating sets in graphs. We demonstrate the eeectiveness of this algorithm by considering a previously studied class of graphs, the so-called \football pool" graphs, and improving many of the known upper bounds for this class.
منابع مشابه
A Time Dependent Pollution Routing Problem in Multi-graph
This paper considers a time dependent(the travel time is not constant throughout the day) pollution routing problem (TDPRP), which aids the decision makers in minimizing travel time, toll cost and emitted pollution cost. In complexity of urban areas most of the time one point is accessible from another with more than one edge. In contrast to previous TDPRP models, which are designed with only ...
متن کاملThe Inverse Football Pool Problem
The minimal number of spheres (without “interior”) of radius n required to cover the finite set {0, . . . , q−1} equipped with the Hamming distance is denoted by T (n, q). The only hitherto known values of T (n, q) are T (n, 3) for n = 1, . . . , 6. These were all given in the 1950s in the Finnish football pool magazine Veikkaaja along with upper and lower bounds for T (n, 3) for n ≥ 7. Recentl...
متن کاملAn Integer Programming Model and a Tabu Search Algorithm to Generate α-labeling of Special Classes of Quadratic Graphs
First, an integer programming model is proposed to find an α-labeling for quadratic graphs. Then, a Tabu search algorithm is developed to solve large scale problems. The proposed approach can generate α-labeling for special classes of quadratic graphs, not previously reported in the literature. Then, the main theorem of the paper is presented. We show how a problem in graph theory c...
متن کاملAPPLICATION OF TABU SEARCH FOR SOLVING THE BI-OBJECTIVE WAREHOUSE PROBLEM IN A FUZZY ENVIRONMENT
The bi-objective warehouse problem in a crisp environment is often not eective in dealing with the imprecision or vagueness in the values of the problem parameters. To deal with such situations, several researchers have proposed that the parameters be represented as fuzzy numbers. We describe a new algorithm for fuzzy bi-objective warehouse problem using a ranking function followed by an applic...
متن کاملA GUIDED TABU SEARCH FOR PROFILE OPTIMIZATION OF FINITE ELEMENT MODELS
In this paper a Guided Tabu Search (GTS) is utilized for optimal nodal ordering of finite element models (FEMs) leading to small profile for the stiffness matrices of the models. The search strategy is accelerated and a graph-theoretical approach is used as guidance. The method is evaluated by minimization of graph matrices pattern equivalent to stiffness matrices of finite element models. Comp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 74 شماره
صفحات -
تاریخ انتشار 1997