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math.CO2023
Further results on the permanental sums of bicyclic graphs
Tingzeng Wu, Yinggang Bai
Let be a graph, and let be the adjacency matrix of . The permanental polynomial of is defined as . The permanental sum of can be…
math.CO2023
Enumeration of maximum matchings of graphs
Tingzeng Wu, Xiaolin Zeng, Huazhong Lv
Counting maximum matchings in a graph is of great interest in statistical mechanics, solid-state chemistry, theoretical computer science, mathematics, among other disciplines. Howe…
math.RA2023
Free weighted differential (-tri)dendriform algebras
Yuanyuan Zhang, Huhu Zhang, Tingzeng Wu +1
In the present paper, we propose the concepts of weighted differential (-tri)dendriform algebras and give some basic properties of them. The corresponding free objects are const…