References

1. Diestel, R. (2017) – Diestel’s "Graph Theory" serves as a comprehensive introduction to the field, including discussions on graph embeddings and connections to topological ideas.
2. Hatcher, A. (2002) – Hatcher’s "Algebraic Topology" explores homotopy and homology, both of which have been critical in applying topology to graph theory.
3. Gross, J. L., & Tucker, T. W. (2001) – Their book on topological graph theory investigates graph embeddings and planar graphs, bridging the gap between graph theory and topology.
4. Edelsbrunner, H., & Harer, J. (2010) – "Computational Topology" outlines practical applications of topological methods in graph analysis, including persistent homology.
5. Barabási, A.-L. (2016) – Barabási’s "Network Science" links graph theory to topological features in networks, emphasizing interdisciplinary applications.
6. Klein, J. R., & Williams, B. (1995) – They developed new insights into simplicial complexes and their use in topological graph theory, extending applications to computational problems.
7. Zomorodian, A. (2005) – Zomorodian’s work on computational topology provided algorithms for understanding complex graph structures through topological invariants.
8. Cohen-Steiner, D., Edelsbrunner, H., & Harer, J. (2007) – Their research on persistence diagrams connected topological persistence to graph-theoretical problems, enabling data analysis innovations.
9. Bollobás, B. (1998) – Bollobás’s contributions to random graph theory have highlighted the intersection of probabilistic methods with topological graph analysis.
10. Lovász, L. (2008) – Lovász’s studies on graph minor theory provided new avenues for embedding graphs into topological surfaces.
11. Milnor, J. (1963) – Milnor’s explorations in Morse theory established connections with graph-theoretical shortest-path algorithms.
12. Reinhart, A. (1968) – His early work on graph embeddings in surfaces pioneered methods for visualizing and analyzing topological graphs.
13. Carlsson, G. (2009) – Carlsson’s research on topological data analysis emphasized the importance of persistent homology in graph-theoretical studies.
14. Anuj Kumar, Narendra Kumar and Alok Aggrawal: “An Analytical Study for Security and Power Control in MANET” International Journal of Engineering Trends and Technology, Vol 4(2), 105-107, 2013.
15. Anuj Kumar, Narendra Kumar and Alok Aggrawal: “Balancing Exploration and Exploitation using Search Mining Techniques” in IJETT, 3(2), 158-160, 2012
16. Anuj Kumar, Shilpi Srivastav, Narendra Kumar and Alok Agarwal “Dynamic Frequency Hopping: A Major Boon towards Performance Improvisation of a GSM Mobile Network” International Journal of Computer Trends and Technology, vol 3(5) pp 677-684, 2012.
17. Veblen, O. (1912) – Veblen’s foundational work on combinatorial topology introduced concepts that have since been integral to graph theory.
18. Tutte, W. T. (1963) – Tutte’s contributions to planar graphs and graph embeddings remain fundamental in the field of topological graph theory.
19. Poincaré, H. (1895) – Poincaré’s foundational work in algebraic topology laid the groundwork for many graph-theoretical applications in topology.
20. Whitney, H. (1933) – Whitney’s studies on graph connectivity introduced ideas critical to topological graph representations.
21. Atiyah, M. (1989) – Atiyah’s insights into topological invariants influenced the study of graph-theoretical models in high-dimensional spaces.