11 citations · 11 across the 10 of their papers we have counts for
12 papers
Hypermaps with hyperedges of length at most
Robert Cori, Gábor Hetyei
We study the computation of our recently introduced Whitney polynomial and the enumeration of the spanning hypertrees for hypermaps whose hyperedges have length at most . This i…
On reduced unicellular hypermonopoles
Robert Cori, Gábor Hetyei
The problem of counting unicellular hypermonopoles by the number of their hyperedges is equivalent to describing the cycle length distribution of a product of two circular permutat…
A Whitney polynomial for hypermaps
Robert Cori, Gábor Hetyei
We introduce a Whitney polynomial for hypermaps and use it to generalize the results connecting the circuit partition polynomial to the Martin polynomial and the results on several…
A few words about maps
Robert Cori, Yiting Jiang, Patrice Ossona de Mendez +1
In this paper, we survey some properties, encoding, and bijections involving combinatorial maps, double occurrence words, and chord diagrams. We particularly study quasi-trees from…
Spanning hypertrees, vertex tours and meanders
Robert Cori, Gábor Hetyei
This paper revisits the notion of a spanning hypertree of a hypermap introduced by one of its authors and shows that it allows to shed new light on a very diverse set of recent res…
Counting partitions of a fixed genus
Robert Cori, Gábor Hetyei
We show that, for any fixed genus , the ordinary generating function for the genus partitions of an -element set into blocks is algebraic. The proof involves showing…