Multigraphs from crossword puzzle grid designs

Crossword puzzles lend themselves to mathematical inquiry. Several authors have already described the arrangement of crossword grids and associated combinatorics of answer numbers. In this paper, we present a new graph-theoretic representation of crossword puzzle grid designs and describe the mathem...

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Bibliographic Details
Published in:arXiv.org 2021-09
Main Authors: Coté, Ben, Merrill, Leanne
Format: Article
Language:English
Subjects:
Combinatorial analysis
Crossword puzzles
Graph theory
Graphical representations
Mathematical analysis
Online Access:Get full text
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Summary:Crossword puzzles lend themselves to mathematical inquiry. Several authors have already described the arrangement of crossword grids and associated combinatorics of answer numbers. In this paper, we present a new graph-theoretic representation of crossword puzzle grid designs and describe the mathematical conditions placed on these graphs by well-known crossword construction conventions.
ISSN:2331-8422