Dijkstra Graphs
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| Xuất bản năm: | arXiv.org (Jun 18, 2016), p. n/a |
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| Tác giả chính: | |
| Tác giả khác: | , , , , |
| Được phát hành: |
Cornell University Library, arXiv.org
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| Những chủ đề: | |
| Truy cập trực tuyến: | Citation/Abstract Full text outside of ProQuest |
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| Bài tóm tắt: | We revisit a concept that has been central in some early stages of computer science, that of structured programming: a set of rules that an algorithm must follow in order to acquire a structure that is desirable in many aspects. While much has been written about structured programming, an important issue has been left unanswered: given an arbitrary, compiled program, describe an algorithm to decide whether or not it is structured, that is, whether it conforms to the stated principles of structured programming. We refer to the classical concept of structured programming, as described by Dijkstra. By employing a graph model and graph-theoretic techniques, we formulate an efficient algorithm for answering this question. To do so, we first introduce the class of graphs which correspond to structured programs, which we call Dijkstra Graphs. Our problem then becomes the recognition of such graphs, for which we present a greedy \(O(n)\)-time algorithm. Furthermore, we describe an isomorphism algorithm for Dijkstra graphs, whose complexity is also linear in the number of vertices of the graph. Both the recognition and isomorphism algorithms have potential important applications, such as in code similarity analysis. |
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| số ISSN: | 2331-8422 |
| Nguồn: | Engineering Database |