Genus distributions of 4-regular outerplanar graphs
Summary: We present an \(O(n^2)\)-time algorithm for calculating the genus distribution of any 4-regular outerplanar graph. We characterize such graphs in terms of what we call split graphs and incidence trees. The algorithm uses post-order traversal of the incidence tree and productions that are adapted from a previous paper that analyzes double-root vertex-amalgamations and self-amalgamations.
scientific article; zbMATH DE number 5976490