Wang, "Degree-based indices of polyhex nanotubes and dendrimer nanostar," Journal of Computational and Theoretical Nanoscience, vol.
Kang, "M-polynomial and degree-based topological indices of polyhex nanotubes," Symmetry, vol.
Kang, "Mpolynomial and degree-based topological indices of polyhex
nanotubes," Symmetry, vol.
* In the two-player version of the game, players use the rules for a standard 4-player game, with each player taking a set of polyhex pieces of two colours, and alternating turns: Player-1-colour-A, Player-2-colour-B, Player-1-colour-C, and so on.
* Alternatively, three players could follow the 2-player approach, with each player taking a set of polyhex pieces of two colours and in a player's successive turns placing a piece of one, and then the other, of their two colours.
If the basic polygons are cells of a regular tiling of the plane by squares, equilateral triangles or regular hexagons, then the polyform is called a polyomino, polyiamond or polyhex respectively.
Polyhex achievement games are studied in [3, 20, 22].
ABSTRACT: A toroidal polyhex is a cubic bipartite graph embedded on the torus such that each face is a hexagon.
Key Words: ful lerene, toroidal polyhex, super edge-antimagic total labeling.
Moreover, as applications, we present explicit formulas for the [M.sup.*.sub.1] and [M.sup.*.sub.2] indices of the [C.sub.4] nanotorus [C.sub.m] [??] [C.sub.n], the [C.sub.4] nanotubes [P.sub.m] [??] [C.sub.n,] the zig-zay polyhex nanotube [TUHC.sub.6] [2n, 2], the hexagonal chain [L.sub.n], and so forth.
Let n be an integer with n [greater than or equal to] 3 and let [GAMMA] be the zigzag polyhex nanotube [TUHC.sub.6] [2n, 2] (see Figure 2); then [GAMMA] = [C.sub.n] [+.sub.S] [P.sub.2].
Zhang, "2-extendability and k-resonance of non-bipartite Klein-bottle polyhexes
," Discrete Applied Mathematics, vol.