, Chromatic Zagreb indices for graphical embodiment

|. J. Kok, S. Naduvath, and M. K. ,

, Follows from definition of the first chromatic Zagreb index, the Type-I graphical embodiment and the fact that ?(c i ) = ? (i ? 1) and the mapping c i ? c ?(i?1)

, Part (ii)(a): Follows from definition of the second chromatic Zagreb index, the Type-I graphical

, Follows from definition of the second chromatic Zagreb index, the Type-I graphical embodiment and the fact that ?(c i ) = ? (i ? 1) and the mapping c i ? c ?(i?1)

, Part (iii)(a): Follows from definition of the third chromatic Zagreb index, the Type-I graphical

, Part (iii)(b): Follows from definition of the third chromatic Zagreb index, the Type-I graphical

, Part (i)(a): Follows from definition of the first chromatic Zagreb index, the Type-II graphical

, Follows from definition of the first chromatic Zagreb index, the Type-II graphical embodiment and the fact that ?(c i ) = ? (i ? 1) and the mapping c i ? c ?(i?1)

, Part (ii)(a): Follows from definition of the second chromatic Zagreb index, the Type-II graphical

, Follows from definition of the second chromatic Zagreb index, the Type-II graphical embodiment and the fact that ?(c i ) = ? (i ? 1) and the mapping c i ? c ?(i?1) . Also note that Chromatic Zagreb indices for graphical embodiment

|. J. Kok, S. Naduvath, and M. K. ,

, Follows from definition of the first chromatic Zagreb index, the Type-I graphical embodiment and the fact that ?(c i ) = f ?(i?1) and the mapping c i ? c ?(i?1)

, Part (ii)(a): Follows from definition of the second chromatic Zagreb index, the Type-I graphical

, Follows from definition of the second chromatic Zagreb index, the Type-I graphical embodiment and the fact that ?(c i ) = f ?(i?1) and the mapping c i ? c ?(i?1)

, Part (iii)(a): Follows from definition of the third chromatic Zagreb index, the Type-I graphical

, Part (iii)(b): Follows from definition of the third chromatic Zagreb index, the Type-I graphical embodiment and the fact that ?

, Part (i)(a): Follows from definition of the first chromatic Zagreb index, the Type-II graphical

, Follows from definition of the first chromatic Zagreb index, the Type-II graphical embodiment and the fact that ?(c i ) = f ?(i?1) and the mapping c i ? c ?(i?1)

, Part (ii)(a): Follows from definition of the second chromatic Zagreb index, the Type-II graphical

, Part (ii)(b): Follows from definition of the second chromatic Zagreb index, the Type-II graphical

, Part (iii)(a): Follows from definition of the third chromatic Zagreb index, the Type-I graphical

|. J. Kok, S. Naduvath, and M. K. ,

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, Chromatic Zagreb indices for graphical embodiment

|. J. Kok, S. Naduvath, and M. K. ,

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