3 papers
math.CO2026
Characterizations of bipartite and Eulerian partial duals of orientable hypermaps
Yufan Han, Metrose Metsidik
We first rewrite the Chmutov and Vignes-Tourneret's three-permutation formula as an explicit hyperedge-partial-duality formula in the two-permutation model, and show that in this m…
math.CO2025
Introducing a vertex polynomial invariant for embedded graphs
Qi Yan, Qingying Deng, Metrose Metsidik
The ribbon group action extends geometric duality and Petrie duality by defining two embedded graphs as twisted duals precisely when they lie within the same orbit under this group…
math.CO2025
Multiplicative and mining property for stability numbers of graphs
Metrose Metsidik, Lixiao Xiao
-vertex stability number , and -edge stability number is defined similarly by setting $X\su…