- 期刊
HOMOMORPHISMS AND RELATED CONTRACTIONS OF GRAPHS
摘要
For every homomorphism φ of a graph G there exists a contraction θ_φ on G, the complement of G. Here we study the graph equation φ(G)=θ_φ(G). In the course of our work we show that Hadwiger's Conjecture is true for every self-complementary graph.
延伸閱讀
- Chang (2015). Contact Representations of Graphs [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2015.01060
- Dinevari, T., & Frigon, M. (2015). Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems. Abstract and Applied Analysis, (2015), 1622-1637. https://doi.org/10.1155/2015/345856
- GILLMAN, R. A. (1995). HOMOMORPHISM AND SIGMA POLYNOMIALS. International Journal of Mathematics and Mathematical Sciences, 1995(), 653-658. https://doi.org/10.1155/S0161171295000834
- Dimant, V., García, D., Maestre, M., & Peris, P. S. (2014). Homomorphisms between Algebras of Holomorphic Functions. Abstract and Applied Analysis, 2014(), 920-931-987. https://doi.org/10.1155/2014/612304
- Malik, M. A., & Mahmood, M. K. (2012). On Simple Graphs Arising from Exponential Congruences. Journal of Applied Mathematics, 2012(), 1304-1313-181. https://doi.org/10.1155/2012/292895