On path graphs of incidence graphs
نویسنده
چکیده
For a given graph G and a positive integer k the Pk-path graph Pk(G) has for vertices the set of paths of length k in G. Two vertices are connected in Pk(G) when the intersection of the corresponding paths forms a path of length k − 1 in G, and their union forms either a cycle or a path of length k + 1. Path graphs were proposed as a generalization of line graphs. In this article we investigate some properties of path graphs of bipartite graphs, especially path graphs of incidence graphs of configurations.
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