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If D = (V, A>) is a digraph, its p-competition graph has vertex set V and an edge between x and y if and only if there are distinct vertices a1,…,ap in D with (x, ai) and (y,ai) arcs of D for each i ⩽ p. The p-competition number of a graph is the smallest number of isolated vertices which need to be added in order to make it a p-competition graph. These notions generalize the widely studied p = 1 case, where they correspond to ordinary competition graphs and competition numbers. We obtain bounds on the p-competition number in terms of the ordinary competition number, and show that, surprisingly, the p-competition number can be arbitrarily smaller than the ordinary competition number. The management of buyer–seller relationships was an early antecedent to the development of customer relationship management (CRM) concepts. Currently, CRM concepts are being challenged by the rise of value networks. Value networks can and, often, do interfere with customer relationships and thereby call for a broader range of concepts Beats Headphones Walmart Canada to analyze and understand relationship management and the influence of value networks on relationships. This introductory article describes the Beats Studio Sale Canada nature of the problem between relationships and value networks, reviews the current state of research, and describes the contributions of the articles presented in this special issue on CRM in business-to-business markets.