Conditions for building generalized action graphs from sequences

TL;DR

This paper investigates the structural conditions under which sequences can generate generalized action graphs, linking graph properties to sequence patterns and establishing a framework for their identification.

Contribution

It introduces a framework for determining when sequences can produce generalized action graphs, advancing understanding of their structural and combinatorial properties.

Findings

Identifies conditions for sequence-to-graph generation

Links graph features to sequence properties

Provides criteria for sequence compatibility with action graphs

Abstract

This paper explores the properties of directed graphs, termed generalized action graphs, which exhibit a strong connection to certain number sequences. Focusing on the structural and combinatorial aspects, we investigate the conditions under which specific sequences can generate generalized action graphs. Building upon prior research in this field, we analyze specific features of these graphs and how they correspond to patterns and properties in their sequences. These findings support a broader conclusion that establishes framework for identifying which sequences can produce generalized action graphs.