<?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-2573</article-id>
      <title-group>
        <article-title>Edge forcing in tree-like architectures</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Sujana</surname>
            <given-names>G. Jessy</given-names>
          </name>
          <aff>Department of Computer Science and Engineering (Emerging Technologies), Vadaplani, SRM Institute of Science and Technology, Chennai, Tamil Nadu, 600026, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Anitha</surname>
            <given-names>J.</given-names>
          </name>
          <aff>Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, Tamil Nadu, 600124, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Rajalaxmi</surname>
            <given-names>T. M.</given-names>
          </name>
          <aff>Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, Tamil Nadu, 603110, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>4</issue>
      <fpage>1777</fpage>
      <lpage>1786</lpage>
      <pub-date date-type="pub">
        <day>08</day>
        <month>04</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>To create independent edges in a graph G, this work presents a variant of the zero forcing set called the ‘edge-forcing set.’ A collection of vertices in G that can influence their neighbors to force all vertices to become forced iteratively is called a zero forcing set. If a forced vertex has exactly one unforced neighbor at any given step, it forces that neighbor to become forced as well. This concept is extended to edges by the edge-forcing set. We show that figuring out the edge-forcing number, the smallest number of vertices required to build an edge-forcing set is an NP-complete task. Additionally, for a variety of tree-like structures, we investigate the edge-forcing number, giving precise values for sibling trees and defining bounds for hypertree.</p>
      </abstract>
      <kwd-group>
        <kwd>Zero forcing set</kwd>
        <kwd>Forced vertex</kwd>
        <kwd>NP-complete task</kwd>
        <kwd>Edge forcing number</kwd>
        <kwd>Unforced neighbor</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>
