Competition Parameters of a Graph
نویسندگان
چکیده
Competition parameters for a graph are those associated with two players alternately selecting elements to be included in a set S, where S is required to have a certain property. One player attempts to maximize a value, typically the order of the resulting set, while the other player attempts to minimize the value. Several independence/ domination/ enclaveless competitive parameters are discussed, along with a competitive-reachability parameter.
منابع مشابه
SOME GRAPH PARAMETERS ON THE COMPOSITE ORDER CAYLEY GRAPH
In this paper, the composite order Cayley graph Cay(G, S) is introduced, where G is a group and S is the set of all composite order elements of G. Some graph parameters such as diameter, girth, clique number, independence number, vertex chromatic number and domination number are calculated for the composite order Cayley graph of some certain groups. Moreover, the planarity of composite order Ca...
متن کاملPre-scheduling and Scheduling of Task Graph on Homogeneous Multiprocessor Systems
Task graph scheduling is a multi-objective optimization and NP-hard problem. In this paper a new algorithm on homogeneous multiprocessors systems is proposed. Basically, scheduling algorithms are targeted to balance the two parameters of time and energy consumption. These two parameters are up to a certain limit in contrast with each other and improvement of one causes reduction in the othe...
متن کاملA Survey On the Vulnerability Parameters of Networks
The analysis of vulnerability in networks generally involves some questions about how the underlying graph is connected. One is naturally interested in studying the types of disruption in the network that maybe caused by failures of certain links or nodes. In terms of a graph, the concept of connectedness is used in dierent forms to study many of the measures of vulnerability. When certain vert...
متن کاملTenacity and some other Parameters of Interval Graphs can be computed in polynomial time
In general, computation of graph vulnerability parameters is NP-complete. In past, some algorithms were introduced to prove that computation of toughness, scattering number, integrity and weighted integrity parameters of interval graphs are polynomial. In this paper, two different vulnerability parameters of graphs, tenacity and rupture degree are defined. In general, computing the tenacity o...
متن کاملPre-scheduling and Scheduling of Task Graph on Homogeneous Multiprocessor Systems
Task graph scheduling is a multi-objective optimization and NP-hard problem. In this paper a new algorithm on homogeneous multiprocessors systems is proposed. Basically, scheduling algorithms are targeted to balance the two parameters of time and energy consumption. These two parameters are up to a certain limit in contrast with each other and improvement of one causes reduction in the othe...
متن کامل