Molecular nanowires mediating long range charge transport are desirable for their potential applications in future molecular scale circuitry. Most of the conventional molecular wires suffer from an exponential decay of conductance (G) with wire length (L) as G = Ae -βL , wherein positive β value signifies a decay of conductance. However, in recent years, molecular wires with unusual attenuation factors, such as β=0 (i.e., G independent of L) or even negative β values (i.e., G increasing with L) have become sparkle in the eyes of research community. Such extraordinary wires exhibiting negative β values in phenomenological violation of the classical Ohm's law are called as anti-ohmic nanoconductors. This reversed exponential decay of conductance with length was first reported by Tada and Yoshizawa for nanographenes with zigzag edges. Subsequently, the molecular wires based on porphyrin derivatives were presented with low attenuation factors which was later endorsed by an experimental achievement by Leary et al. Afterwards, several guiding principles were formulated to explain the non-trivial reversed conductance/length trends. Tsuji et al. suggested that if the bond length alternation of molecule is reversed, β will be negative. Mandado and coworkers proposed an example of quinoid wires with exceptional anti-ohmic behavior. Other correlated factors including captodative substitution and effect of aromaticity have also been employed to enhance conductivity. Another commonly employed method to achieve the reverse conductance-length trend is to design wires with diradical character, following the SSH model for 1D topological insulators. The concept of diradical character is associated with the open-shell nature of polycyclic aromatic hydrocarbons (PAHs) and is qualitatively understood by the increasing contribution of open shell resonance forms to the ground state electronic structure. An argument relating the transmission probability to the weight of diradical resonance structures in the resonance hybrid of the molecule was also given by Hoffmann et al. Accordingly, the diradicals can have large transmission around the Fermi energy if and only if the positions of contacts to the electrodes are chosen on carbon atoms on which radical centers can localize.