Analyzing Configuration Transitions Associated with Higher-Order Link Occurrences in Networks of Cooking Ingredients

Time-varying higher-order interactions among more than two units are typically modeled as a temporal higher-order network in the framework of simplicial complex. For the temporal evolution of the higher-order structure of human proximity interactions in five different social settings, previous work found the characteristics of the configuration transitions in a temporal higher-order network before and after triplet interaction events occur. Recently, food science and computing have been attracting attention due to the increasing popularity of recipe sharing services in social media. In this paper, aiming to reveal the characteristics of the temporal evolution of homemade recipes in terms of combinations of ingredients, we propose a method of analyzing the configuration transitions in a temporal higher-order network of ingredients before and after new higher-order links are formed, in the framework of temporal simplicial complex by extending the previous work from a perspective of activity degree of configuration. Using real data of a Japanese recipe sharing service, we empirically demonstrate the effectiveness of the proposed method, and apply it to analyzing the dynamical properties of higher-order networks of ingredients for Japanese homemade recipes.