DAG-Pathwidth: Graph Algorithmic Analyses of DAG-Type Blockchain Networks

نویسندگان

چکیده

This paper analyzes a blockchain network forming directed acyclic graph (DAG), called DAG-type blockchain, from the viewpoint of algorithm theory. To use NP-hard optimization problems on DAG are required to be solved. Although various for undirected and graphs can efficiently solved by using notions parameters, these currently known parameters meaningless DAGs, which implies that it is hopeless design efficient algorithms based such problems. In this work, we propose novel parameter DAG-pathwidth, represents closeness path. an extension pathwidth, well-known graphs. We analyze features DAG-pathwidth prove computing (directed in general) NP-complete. Finally, variant maximum k-independent set problem when input small.

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ژورنال

عنوان ژورنال: IEICE Transactions on Information and Systems

سال: 2023

ISSN: ['0916-8532', '1745-1361']

DOI: https://doi.org/10.1587/transinf.2022fcp0007