The paper investigates the relationship between algebraic expressions and labeled graphs. We consider directed graphs based on grid structure, which have m rows and n columns. Our goal is to simplify the expressions associated with these graphs. To this end, we apply two methods that generate expressions for these graphs and analyze the lengths of these expressions as functions of n.

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Algebraic Expressions of Grid Graphs with Diagonal Edges

  • Mark Korenblit

摘要

The paper investigates the relationship between algebraic expressions and labeled graphs. We consider directed graphs based on grid structure, which have m rows and n columns. Our goal is to simplify the expressions associated with these graphs. To this end, we apply two methods that generate expressions for these graphs and analyze the lengths of these expressions as functions of n.