3 papers
math.CO2013
Enumeration of -Fibonacci Paths using Infinite Weighted Automata
Rodrigo De Castro, José L. Ramírez
In this paper, we introduce a new family of generalized colored Motzkin paths, where horizontal steps are colored by means of colors, where is the th -Fib…
cs.DM2013
Applications in Enumerative Combinatorics of Infinite Weighted Automata and Graphs
Rodrigo De Castro, Andrés L. Ramírez, José L. Ramírez
In this paper we studied infinite weighted automata and a general methodology to solve a wide variety of classical lattice path counting problems in an uniform way. This counting p…
cs.DM2012
A Generalization of the Fibonacci Word Fractal and the Fibonacci Snowflake
José L. Ramírez, Gustavo N. Rubiano, Rodrigo de Castro
In this paper we introduce a family of infinite words that generalize the Fibonacci word and we study their combinatorial properties. Moreover, we associate to this family of words…