<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-discrete-mathematical-sciences-and-cryptography</journal-id>
      <journal-title-group>
        <journal-title>Journal of Discrete Mathematical Sciences and Cryptography</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0065</issn>
      <issn publication-format="print">0972-0529</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JDMSC-3025</article-id>
      <title-group>
        <article-title>Dominating sets in hierarchical sensor networks</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Ranade</surname>
            <given-names>Mrunmai Mandar</given-names>
          </name>
          <aff>Department of Engineering Sciences, Vishwakarma University, Pune, Maharashtra, 411048, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Gayathri</surname>
            <given-names>S.</given-names>
          </name>
          <aff>Department of Humanities and Sciences (Mathematics Division), Aarupadai Veedu Institute of Technology, Vinayaka Mission’s Research Foundation (Deemed to be University), Paiyanoor, Chennai, Tamil Nadu, 603104, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Tiwari</surname>
            <given-names>Gagan</given-names>
          </name>
          <aff>Department of Computer Sciences, Noida International University, Greater Noida, Uttar Pradesh, 203201, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Swathi</surname>
            <given-names>Vundela</given-names>
          </name>
          <aff>Centre for Multidisciplinary Research, Anurag University, Hyderabad, Telangana, 500088, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Goyal</surname>
            <given-names>Shitij</given-names>
          </name>
          <aff>Quantum University Research Center, Quantum University, Roorkee, Uttarakhand, 247667, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kumar</surname>
            <given-names>Ravi</given-names>
          </name>
          <aff>Centre for Research Impact and Outcome, Chitkara University, Rajpura, Punjab, 140417, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>10-A</issue>
      <fpage>3985</fpage>
      <lpage>3996</lpage>
      <pub-date date-type="pub">
        <day>31</day>
        <month>10</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>The sets that take over are important as well in resource use and the effectiveness of communication in a hierarchical sensor network. The current paper presents a multi-level dominating set model which is particular to clustered architectures of sensor nodes, cluster heads and gateways. The proposed methodology will be oriented to reduce the use of energy, network coverage, minimize the latency, and enhance fault tolerance. A top-down dominating set construction algorithm is an algorithm that is meant to select the most appropriate nodes in every step according to the cluster-based decision making. The simulation results suggest that the proposed solution can save the energy usage, enhance the coverage effectiveness, and the latency of communications by about 28.6 percent, 21.4 percent, and 18.2 percent, respectively, compared to the traditional flat-network solutions. Additionally, the model increases the lifetime and resilience of the network in the event of node failures. It can be scaled and configured and can be applied to large-scale IoT and environmental monitoring.</p>
      </abstract>
      <kwd-group>
        <kwd>Dominating set</kwd>
        <kwd>Hierarchical sensor networks</kwd>
        <kwd>Energy efficiency</kwd>
        <kwd>Cluster-based optimization</kwd>
        <kwd>Network coverage</kwd>
        <kwd>Fault tolerance</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
