Characterization of (Molecular) Graphs with Fractional Metric Dimension as Unity

<div>Resolving neighbourhood sets of <svg height="11.5564pt" id="M788" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 31.6907 11.5564" width="31.6907pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M622 618V662H20V618H238V0H404V618H622ZM360 44H282V618H360V44Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.851,0)"><path d="M70 662V0H348C544 0 677 137 677 332C677 532 547 662 348 662H70ZM553 541C610 488 633 419 633 342C633 278 609 166 553 126V541ZM509 99C475 62 389 44 342 44H236V618H343C393 618 466 598 509 571V99ZM192 44H114V618H192V44Z"></path></g><g transform="matrix(.013,0,0,-0.013,16.298,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.796,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 225H82C149 335 214 431 278 520H280V225Z"></path></g><g transform="matrix(.013,0,0,-0.013,27.036,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> that are equal due to symmetry.</div>

Journal of Chemistry

tab6

Table 6

Table 6: Characterization of (Molecular) Graphs with Fractional Metric Dimension as Unity 