# Graph-Theoretic Problems and Their New Applications

## Acknowledgments

## Conflicts of Interest

## References

- Tilley, J. Kempe-Locking Configurations. Mathematics
**2018**, 6, 309. [Google Scholar] [CrossRef] [Green Version] - Zhang, K.; Zhao, H.; Ye, Z.; Zhu, Y.; Wei, L. The Bounds of the Edge Number in Generalized Hypertrees. Mathematics
**2019**, 7, 2. [Google Scholar] [CrossRef] [Green Version] - Wang, C.; Wang, S. The A
_{α}-Spectral Radii of Graphs with Given Connectivity. Mathematics**2019**, 7, 44. [Google Scholar] [CrossRef] [Green Version] - Nikiforov, V. Merging the A- and Q-spectral theories. Appl. Anal. Discret. Math.
**2017**, 11, 81–107. [Google Scholar] [CrossRef] [Green Version] - Jan, N.; Ullah, K.; Mahmood, T.; Garg, H.; Davvaz, B.; Saeid, A.B.; Broumi, S. Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs. Mathematics
**2019**, 7, 72. [Google Scholar] [CrossRef] [Green Version] - Wang, Y.; Wu, X.; Dehgardi, N.; Amjadi, J.; Khoeilar, R.; Liu, J.-B. k-Rainbow Domination Number of P
_{3}□P_{n}. Mathematics**2019**, 7, 203. [Google Scholar] [CrossRef] [Green Version] - Ye, H.; Miao, F.; Shao, Z.; Liu, J.-B.; Zerovnik, J.; Repolusk, P. More Results on the Domination Number of Cartesian Product of Two Directed Cycles. Mathematics
**2019**, 7, 210. [Google Scholar] [CrossRef] [Green Version] - Xu, J.; Liu, J.-B.; Bilal, A.; Ahmad, U.; Siddiqui, H.M.A.; Ali, B.; Farahani, M.R. Discrete Degree Index of Some Derived Graphs. Mathematics
**2019**, 7, 283. [Google Scholar] [CrossRef] [Green Version] - Dobrynin, A.A.; Kochetova, A.A. Degree Distance of a Graph: A Degree Analogue of the Wiener Index. J. Chem. Inf. Comp. Sci.
**1994**, 34, 1082–1086. [Google Scholar] [CrossRef] - Liu, J.-B.; Zhao, J.; Zhu, Z.; Cao, J. On the Normalized Laplacian and the Number of Spanning Trees of Linear Heptagonal Networks. Mathematics
**2019**, 7, 314. [Google Scholar] [CrossRef] [Green Version] - Wang, S.; Shao, Z.; Liu, J.-B.; Wei, B. The Bounds of Vertex Padmakar-Ivan Index on k-Trees. Mathematics
**2019**, 7, 324. [Google Scholar] [CrossRef] [Green Version] - Liu, J.-B.; Ali, B.; Malik, M.A.; Siddiqui, H.M.A.; Imran, M. Reformulated Zagreb Indices of Some Derived Graphs. Mathematics
**2019**, 7, 366. [Google Scholar] [CrossRef] [Green Version] - Liu, J.-B.; Arockiaraj, M.; Delaila, J.N. Wirelength of Enhanced Hypercube into Windmill and Necklace Graphs. Mathematics
**2019**, 7, 383. [Google Scholar] [CrossRef] [Green Version] - Yang, Y.; Wang, A.; Wang, H.; Zhao, W.-T.; Sun, D.-Q. On Subtrees of Fan Graphs, Weel Graphs, and “Partitions” of Wheel Graphs under Dynamic Evolution. Mathematics
**2019**, 7, 472. [Google Scholar] [CrossRef] [Green Version] - Huang, L.; Hu, Y.; Li, Y.; Kumar, P.K.; Koley, D.; Dey, A. A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications. Mathematics
**2019**, 7, 551. [Google Scholar] [CrossRef] [Green Version] - Hui, Z.-H.; Yang, Y.; Wang, H.; Sun, X.-J. Matching Extendabilities of G=C
_{m}∨P_{n}. Mathematics**2019**, 7, 941. [Google Scholar] [CrossRef] [Green Version] - Falcon, R.M.; Falcon, O.J.; Nunez, J. An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics. Mathematics
**2019**, 7, 1068. [Google Scholar] [CrossRef] [Green Version] - Carbollosa, W.; Rodriguez, J.M.; Sigarreta, J.M.; Vakhania, N. f-Polynomial on Some Graph Operations. Mathematics
**2019**, 7, 1074. [Google Scholar] [CrossRef] [Green Version] - De la Sen, M.; Nikolic, N.; Dosenovic, T.; Pavlovic, M.; Radenovic, S. Some Results on (s-q)-Graphic Contraction Mappings in b-Metric-Like Spaces. Mathematics
**2019**, 7, 1190. [Google Scholar] [CrossRef] [Green Version] - Marappan, R.; Sethumadhavan, G. Complexity Analysis and Stochastic Convergence of Some Well-known Evolutionary Operators for Solving Graph Coloring Problem. Mathematics
**2020**, 8, 303. [Google Scholar] [CrossRef] [Green Version] - Worawannotai, C.; Ruksasakchai, W. Competition-Independence Game and Domination Game. Mathematics
**2020**, 8, 359. [Google Scholar] [CrossRef] [Green Version] - Sotskov, Y. Mixed Graph Colorings: A Historical Review. Mathematics
**2020**, 8, 385. [Google Scholar] [CrossRef] [Green Version]

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**MDPI and ACS Style**

Werner, F.
Graph-Theoretic Problems and Their New Applications. *Mathematics* **2020**, *8*, 445.
https://doi.org/10.3390/math8030445

**AMA Style**

Werner F.
Graph-Theoretic Problems and Their New Applications. *Mathematics*. 2020; 8(3):445.
https://doi.org/10.3390/math8030445

**Chicago/Turabian Style**

Werner, Frank.
2020. "Graph-Theoretic Problems and Their New Applications" *Mathematics* 8, no. 3: 445.
https://doi.org/10.3390/math8030445