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Applied and Computational Mathematics

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Volume 12, Issue 1, February 2023

  • An Integrable Nonlinear Wave Model: Darboux Transform and Exact Solutions

    Jingru Geng, Minna Feng

    Issue: Volume 12, Issue 1, February 2023
    Pages: 1-8
    Received: 25 January 2023
    Accepted: 13 February 2023
    Published: 23 February 2023
    DOI: 10.11648/j.acm.20231201.11
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    Abstract: Soliton equations are infinite-dimensional integrable systems described by nonlinear partial differential equations. In the mathematical theory of soliton equations, the discovery of integrability of these equations has greatly promoted the understanding of their generality, and thus promoted their rapid development. A key feature of an integrable ... Show More
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  • The Metric Dimension of Subdivisions of Lilly Graph, Tadpole Graph and Special Trees

    Basma Mohamed, Mohamed Amin

    Issue: Volume 12, Issue 1, February 2023
    Pages: 9-14
    Received: 28 October 2022
    Accepted: 16 November 2022
    Published: 16 March 2023
    DOI: 10.11648/j.acm.20231201.12
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    Abstract: Consider a robot that is navigating in a space represented by a graph and wants to know its current location. It can send a signal to find out how far it is from each set of fixed landmarks. We study the problem of computing the minimum number of landmarks required, and where they should be placed so that the robot can always determine its location... Show More
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  • Distance Version of Forgotten Topological Index of Some Graph Products

    Aruvi Mathivanan, Maria Joseph

    Issue: Volume 12, Issue 1, February 2023
    Pages: 15-25
    Received: 27 June 2022
    Accepted: 18 July 2022
    Published: 23 March 2023
    DOI: 10.11648/j.acm.20231201.13
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    Abstract: In this paper, we have been found the exact values of distance version of Forgotten Topological index of various types of products such as strong, corona and tensor products of simple and connected graphs. Also we have been calculate the exact values of distance version of Forgotten Topological index of tensor product of path, cycle and complete gr... Show More
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