# Circular digraph walks, $k$-balanced strings, lattice paths and Chebychev polynomials.

Georgiadis, Evangelos; Callan, David; Hou, Qing-Hu

The Electronic Journal of Combinatorics [electronic only] (2008)

- Volume: 15, Issue: 1, page Research Paper R108, 11 p.-Research Paper R108, 11 p.
- ISSN: 1077-8926

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topGeorgiadis, Evangelos, Callan, David, and Hou, Qing-Hu. "Circular digraph walks, -balanced strings, lattice paths and Chebychev polynomials.." The Electronic Journal of Combinatorics [electronic only] 15.1 (2008): Research Paper R108, 11 p.-Research Paper R108, 11 p.. <http://eudml.org/doc/117264>.

@article{Georgiadis2008,

author = {Georgiadis, Evangelos, Callan, David, Hou, Qing-Hu},

journal = {The Electronic Journal of Combinatorics [electronic only]},

keywords = {-node circular digraph; counting walks of given length; transfer matrix method; generating function; Cramer's rule; Chebyshev polynomial; bad walks; height restricted lattice paths; -balanced strings; -node circular digraph; -balanced strings},

language = {eng},

number = {1},

pages = {Research Paper R108, 11 p.-Research Paper R108, 11 p.},

publisher = {Prof. André Kündgen, Deptartment of Mathematics, California State University San Marcos, San Marcos},

title = {Circular digraph walks, -balanced strings, lattice paths and Chebychev polynomials.},

url = {http://eudml.org/doc/117264},

volume = {15},

year = {2008},

}

TY - JOUR

AU - Georgiadis, Evangelos

AU - Callan, David

AU - Hou, Qing-Hu

TI - Circular digraph walks, -balanced strings, lattice paths and Chebychev polynomials.

JO - The Electronic Journal of Combinatorics [electronic only]

PY - 2008

PB - Prof. André Kündgen, Deptartment of Mathematics, California State University San Marcos, San Marcos

VL - 15

IS - 1

SP - Research Paper R108, 11 p.

EP - Research Paper R108, 11 p.

LA - eng

KW - -node circular digraph; counting walks of given length; transfer matrix method; generating function; Cramer's rule; Chebyshev polynomial; bad walks; height restricted lattice paths; -balanced strings; -node circular digraph; -balanced strings

UR - http://eudml.org/doc/117264

ER -

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