Complete Characterization of Resistance Distance for Linear Octagonal Networks

Computing the resistance distance of a network is a fundamental and classical topic. In the aspects of considering the resistances between any two points of the lattice networks, there are many studies associated with the ladder networks and ladderlike networks. But the resistances between any two points for more complex structures than ladder networks or ladderlike networks are still unknown. In this paper, a rather complicated structure which is named linear octagonal network is considered. Treelike octagonal systems are cata-condensed systems of octagons, which represent a class of polycyclic conjugated hydrocarbons. A linear octagonal network is a cata-condensed octagonal system with no branchings. Moreover, the resistances between any two points of a linear octagonal network are first determined. One finds that the effective resistances between new inserted points and others points of a linear octagonal network can be given by the effective resistances between two initial points which are inherited from the linear polyomino network.

A theoretical study on a series of polycyclic conjugated hydrocarbons—dinaphthobenzo[1,2:4,5]dicyclobutadienes with tunable charge transport properties by controlling [N]phenylenes and (anti)aromaticity

A multi-dimensional relationship founded on the targeted [N] number, the energy gap (Eg) and the aromatic degree was constructed for predicting cyclobutadienoid-containing dinaphthobenzo[1,2:4,5]dicyclobutadienes (DNBDCs) with better charge transport properties.

Iterative Synthesis of Edge-Bent [3]Naphthylene

Polycyclic conjugated hydrocarbons (PCHs) containing antiaromatic rings are of fundamental and technical interest. [N]naphthylene is an intriguing family of PCHs consisting of alternatingly fused naphthalenoids and antiaromatic cyclobutadienoids (CBDs). We recently reported the first three regioisomers of the [N]naphthylene family, synthesized by catalytic arene-norbornene annulation (CANAL) reaction followed by acidic aromatization. We now report an iterative strategy for CANAL synthesis allowing us to synthesize the forth regioisomer, edge-bent [3]naphthylene. The optoelectronic properties, local paratropicity, and crystal packing of the edge-bent [3]naphthylene were studied and compared with its closely related regioisomer, center-bent [3]naphthylene.

Extremal octagonal chains with respect to the spectral radius

Octagonal systems are tree-like graphs comprised of octagons that represent a class of polycyclic conjugated hydrocarbons. In this paper, a roll-attaching operation for the calculation of the characteristic polynomials of octagonal chain graphs is proposed. Based on these characteristic polynomials, the extremal octagonal chains with n octagons having the maximum and minimum spectral radii are identified.