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Research papers (Discrete Mathematics, Combinatorics, and Elementary Number Theory) Undergraduate student co-author indicated by an ∗ .
List of select papers. For complete list see Scopus and Google Scholar
List of select papers. For complete list see Scopus and Google Scholar
- Generalized Narayana arrays, restricted Dyck paths, and related bijections,
- Enumeration of paths in a hexagonal circle packing,
- Some distributions on increasing and flattened permutations,
- On colored partitions and Euler-type identities,
- Inversions in colored permutations, derangements, and involutions,
- Enumeration of colored tilings on graphs via generating functions,
- Differential equations in Ward's calculus,
- The combinatorics of Motzkin polyominoes,
- Arithmetic properties of biregular overpartitions,
- Grand zigzag knight's paths,
- Fibonacci and Catalan paths in a wall,
- Colored random tilings on grids,
- Pattern avoidance in weak ascent sequences,
- Restricted bargraphs and unimodal compositions,
- Bijections between directed-column convex polyominoes and restricted compositions,
- Consecutive pattern-avoidance in Catalan words according to the last symbol,
- Last symbol distribution in pattern avoiding Catalan words,
- Consecutive patterns in Catalan words and the descent distribution,
- Descent distribution on Catalan words avoiding ordered pairs of relations,
- Restricted Dyck paths on valleys sequence,
- Knight's paths towards Catalan numbers,
- Set partitions and partitions without singleton blocks of type B,
- Partition lattice with limited block sizes,
- Avoiding a pair of patterns in multisets and compositions,
- On q-poly-Bernoulli numbers arising from combinatorial interpretations,
- Poly-Cauchy numbers of the second kind - the combinatorics behind,
- Statistics on bargraphs of Catalan words,
- Enumerations of rational non-decreasing Dyck paths with integer slope,
- Enumerations on polyominoes determined by Fuss-Catalan words,
- Counting lattice points on bargraphs of Catalan words,
- Enumerating symmetric peaks in non-decreasing Dyck paths,
- On Ward’s differential calculus, Riordan matrices and Sheffer polynomials,
- Enumerating symmetric and asymmetric peaks in Dyck paths,
- A combinatorial approach to derangement matrix of type B,
- Enumerating several aspects of non-decreasing Dyck paths,
- Extensions of set partitions and permutations,
- Some applications of S-restricted set partitions,
- Enumerations of peaks and valleys on non-decreasing Dyck paths,
- Eulerian numbers associated with arithmetical progressions,
- Combinatorial and arithmetical properties of the restricted and associated Bell and factorial numbers,
- Generalized Schroder matrix and its combinatorial interpretation,
- Divisibility properties of the r-Bell numbers and polynomials,
- Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities,
- A generalization of the k-bonacci sequence from Riordan arrays,
- A generalization of the Fibonacci word fractal and the Fibonacci snowflake,
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