Louis W. Shapiro

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Protected points in ordered trees

Gi-Sang Cheon, Louis W. Shapiro, Gi-Sang Cheon, 2008, Appl. Math. Lett..

Leaves of Ordered Trees: 10753

John W. Moon, Richard Ehrenborg, Michael Reid, 2001, Am. Math. Mon..

Random Walks with Absorbing Points

Louis W. Shapiro, L. Shapiro, 1992, Discret. Appl. Math..

A bijection between ordered trees and 2-Motzkin paths and its many consequences

Emeric Deutsch, Louis W. Shapiro, Emeric Deutsch, 2002, Discret. Math..

Advanced Problems: 5814-5819

Erwin Just, Louis W. Shapiro, Arthur C. Segal, 1971 .

A generalization of Lucas polynomial sequence

Hana Kim, Gi-Sang Cheon, Louis W. Shapiro, 2009, Discret. Appl. Math..

The butterfly decomposition of plane trees

William Y. C. Chen, Louis W. Shapiro, Nelson Y. Li, 2005, Discret. Appl. Math..

The Riordan group

Louis W. Shapiro, Seyoum Getu, Wen-Jin Woan, 1991, Discret. Appl. Math..

Generalized Bessel numbers and some combinatorial settings

Gi-Sang Cheon, Louis W. Shapiro, Ji-Hwan Jung, 2013, Discret. Math..

Voting blocks, reluctant functions, and a formula of Hurwitz

Louis W. Shapiro, 1991, Discret. Math..

Matrix identities on weighted partial Motzkin paths

William Y. C. Chen, Sherry H. F. Yan, Louis W. Shapiro, 2007, Eur. J. Comb..

Product-Weighted Lead Codes Revisited

Louis W. Shapiro, Seyoum Getu, Wen-Jin Woan, 1982, J. Comb. Theory, Ser. A.

Bootstrap Percolation, the Schröder Numbers, and the N-Kings Problem

Louis W. Shapiro, A. B. Stephens, L. Shapiro, 1991, SIAM J. Discret. Math..

A combinatorial proof of a Chevyshev polynomial identity

Louis W. Shapiro, 1981, Discret. Math..

The Boundary of Ordered Trees

Lara K. Pudwell, Louis W. Shapiro, Leon C. Woodson, 2015, J. Integer Seq..

Bijections and the Riordan group

Louis W. Shapiro, L. Shapiro, 2003, Theor. Comput. Sci..

The Double Riordan Group

Dennis Davenport, Louis W. Shapiro, Leon C. Woodson, 2011, Electron. J. Comb..

Riordan group involutions and the Delta-sequence

Hana Kim, Gi-Sang Cheon, Louis W. Shapiro, 2009, Discret. Appl. Math..

A Bijection Between the Triangulations of Convex Polygons and Ordered Trees

Louis W. Shapiro, Leon C. Woodson, Dennis E. Davenport, 2020, Integers.

The Fine numbers refined

Sang-Gu Lee, Gi-Sang Cheon, Louis W. Shapiro, 2010, Eur. J. Comb..

The hitting time subgroup, Lukasiewicz paths and Faber polynomials

Hana Kim, Gi-Sang Cheon, Louis W. Shapiro, 2011, Eur. J. Comb..

RNA Folding Including Pseudoknots: A New Parameterized Algorithm and Improved Upper Bound

Chunmei Liu, Yinglei Song, Louis W. Shapiro, 2007, WABI.

The uplift principle for ordered trees

Gi-Sang Cheon, Louis W. Shapiro, 2012, Appl. Math. Lett..

How to Guess a Generating Function

Louis W. Shapiro, Seyoum Getu, Wen-Jin Woan, 1992, SIAM J. Discret. Math..

Motzkin Numbers

Robert Donaghey, Louis W. Shapiro, L. Shapiro, 1977, J. Comb. Theory, Ser. A.

Parity reversing involutions on plane trees and 2-Motzkin paths

William Y. C. Chen, Louis W. Shapiro, Laura L. M. Yang, 2006, Eur. J. Comb..

A survey of the Fine numbers

Emeric Deutsch, Louis W. Shapiro, Emeric Deutsch, 2001, Discret. Math..

Combinatorics of Riordan arrays with identical A and Z sequences

Hana Kim, Gi-Sang Cheon, Louis W. Shapiro, 2012, Discret. Math..

Pseudo-involutions in the Riordan group

Alexander Burstein, Louis W. Shapiro, 2021 .

Some q-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths

Rodica Simion, Joseph E. Bonin, Louis W. Shapiro, 1993 .

On Sequences Gn Satisfying . . .

Ricky X. F. Chen, Louis W. Shapiro, L. Shapiro, 2007 .

A Bijection Between 3-Motzkin Paths and Schroder Paths With No Peak at Odd Height

Louis W. Shapiro, Carol J. Wang, 2009 .

Bijections for the Schröder Numbers

Robert A. Sulanke, Louis W. Shapiro, L. Shapiro, 2000 .

Runs, Slides and Moments

Louis W. Shapiro, Seyoum Getu, Wen-Jin Woan, 1983 .

Riordan group involutions

Hana Kim, Gi-Sang Cheon, Louis W. Shapiro, 2008 .

Positive definite matrices and Catalan numbers, revisited

Louis W. Shapiro, 1984 .

An algebraic structure for Faber polynomials

Hana Kim, Gi-Sang Cheon, Louis W. Shapiro, 2010 .

Finite Groups Acting on Sets with Applications

Louis W. Shapiro, L. Shapiro, 1973 .