A nonempty set S ⊂ V is a defensive k-alliance in G = (V,E), k ∈ [−Δ,Δ] ∪ Z, if for every v ∈ S, dS(v) ≥ dS̄(v) + k. A defensive k-alliance S is called exact, if S is defensive k-alliance but is no defensive (k+1)-alliance in G. In this paper we study the mathematical properties of exact defensive k-alliances in graphs. In particular, we obtain several bounds for defensive k-alliance of a graph....

.....................................................................................xii CHAPTER ONE: INTRODUCTION....................................................... 1 The Problem in Perspective.............................................................3 Corrective Feedback............................................................4 Barriers to accepting corrective feedback received........

This study investigated differences between Mexican- and Anglo-American college students on the Psychological Screening Inventory (PSI; Lanyon, 1970, 1973)-a brief personality instrument designed to detect persons who might benefit from more extensive evaluations in mental health settings. Further, this study controlled for the Mexican Americans' acculturation level, age, and socioeconomic stat...

A nonempty set S ⊆ V is a defensive k-alliance in Γ = (V,E), k ∈ [−Δ,Δ] ∩ Z, if for every v ∈ S, δS(v) ≥ δS̄(v) + k. An defensive kalliance S is called critical if no proper subset of S is an defensive k-alliances in Γ = (V,E). The upper defensive k-alliance number of Γ, denoted by Ak(Γ), is defined as the maximum cardinality of a critical defensive k-alliance in Γ. In this paper we study the ma...

A defensive (offensive) k-alliance in Γ = (V,E) is a set S ⊆ V such that for every v ∈ S (v ∈ ∂S), the number of neighbors v has in S is at least k more than the number of neighbors it has in V \ S. A set X ⊆ V is defensive (offensive) k-alliance free, if for all defensive (offensive) k-alliance S, S \ X 6= ∅, i.e., X do not contain any defensive (offensive) k-alliance as a subset. A set Y ⊆ V ...

Background Defensive medicine prompts physicians not to admit high-risk patients who need intensive care. This phenomenon not only decreases the quality of healthcare services, but also wastes scarce health resources. Defensive medicine occurs in negative and positive forms. Hence, the present study aimed to determine frequency of positive and negative defensive medicine behaviors and their und...

Although basketball is a dualistic sport, with all players competing on both offense and defense, almost all of the sport’s conventional metrics are designed to summarize offensive play. As a result, player valuations are largely based on offensive performances and to a much lesser degree on defensive ones. Steals, blocks and defensive rebounds provide only a limited summary of defensive effect...

background defensive medicine prompts physicians not to admit high-risk patients who need intensive care. this phenomenon not only decreases the quality of healthcare services, but also wastes scarce health resources. defensive medicine occurs in negative and positive forms. hence, the present study aimed to determine frequency of positive and negative defensive medicine behaviors and their und...