Ordering Tricyclic Connected Graphs Having Minimum Degree Distance

نویسندگان

1 Department of Mathematics‎, ‎Abbottabad University of Science and Technology‎, ‎Abbottabad‎, ‎KPK‎, ‎Pakistan

2 Department of Mathematics‎, ‎Abbottabad University of Science and Technology‎, ‎Abbottabad‎, ‎KPK‎, ‎Pakistan

3 Department of Mathematics‎, ‎Abbottabad University of Science and Technology‎, ‎Abbottabad‎, ‎KPK‎, ‎Pakistan

4 Department of Mathematics‎, ‎Abbottabad University of Science and Technology‎, ‎Abbottabad‎, ‎KPK‎, ‎Pakistan

doi
10.22052/ijmc.2025.255360.1895
چکیده

‎Degree distance D'(G) is an important molecular descriptor which provides valuable insights into the connectivity and properties of molecular graphs‎, ‎making it a powerful tool in diverse areas of chemical graph theory‎. ‎This descriptor has attained much attention in the recent past for its broad range of applicability in different problems of chemical graph theory‎. ‎Ordering of graphs with certain parameters allows chemists to identify patterns and trends of different chemical compounds and as a result predict their reaction behavior accordingly‎. ‎In this paper‎, ‎the first sixteen tricyclic graphs are presented which have minimum degree distances (in ascending order) if $n\ge31$.