3 problems

Bijection between constrained Delannoy paths and Catalan paths avoiding symmetric peaks
Delannoy–Catalan bijection conjecture. For every positive integer $n$ , there exists a bijection between $E\mathcal{P}^{(1)}_{n,n}(NE,EN)$ and the set of Catalan paths of size $n+1$ …
openbijective-combinatorics catalan-paths delannoy-paths
0 responses
07
Quadrangulation conjecture
Quadrangulation conjecture. There is an explicit bijection preserving genus and number of edges between rooted quadrangulations and rooted maps with certain decorations that proves…
openbijective-combinatorics map-enumeration
0 responses
05
The missing lemma for the modulo 23 Schröter–Russell–Ramanujan identity
The missing lemma. Condition (i) of Theorem holds for these parameters.
openbijective-combinatorics partition-identities q-series
0 responses
02

Bijection between constrained Delannoy paths and Catalan paths avoiding symmetric peaks