超越准邻接图：论哈密尔顿循环和路径问题的多项式时间可解案例

IF 3.3 4区计算机科学 Q2 COMPUTER SCIENCE, INFORMATION SYSTEMS Informatica Pub Date : 2024-09-18 DOI:10.15388/24-infor568

Marta Kasprzak

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引用次数: 0

摘要

哈密顿循环和路径问题是图论中的基本问题，在模拟现实问题时非常有用。该领域的研究方向是为一般问题设计出越来越好的算法，同时也为存在精确多项式时间算法的新特例定义算法。本文提出了这类新的数字图。这些类别包括准相邻图（相邻图的超类）、有向线图和 DNA 测序问题建模图等。PDF XML

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Beyond Quasi-Adjoint Graphs: On Polynomial-Time Solvable Cases of the Hamiltonian Cycle and Path Problems

The Hamiltonian cycle and path problems are fundamental in graph theory and useful in modelling real-life problems. Research in this area is directed toward designing better and better algorithms for general problems, but also toward defining new special cases for which exact polynomial-time algorithms exist. In the paper, such new classes of digraphs are proposed. The classes include, among others, quasi-adjoint graphs, which are a superclass of adjoints, directed line graphs, and graphs modelling a DNA sequencing problem. PDF XML

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来源期刊

Informatica 工程技术-计算机：信息系统

CiteScore

5.90

自引率

6.90%

发文量

审稿时长

12 months

期刊介绍： The quarterly journal Informatica provides an international forum for high-quality original research and publishes papers on mathematical simulation and optimization, recognition and control, programming theory and systems, automation systems and elements. Informatica provides a multidisciplinary forum for scientists and engineers involved in research and design including experts who implement and manage information systems applications.