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# Faculty

## Rahul Muthu

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PhD (Mathematics), Homi Bhabha National Institute, Mumbai

079-68261564, 9586478239
# 1202, FB-1, DA-IICT, Gandhinagar, Gujarat, India – 382007
rahul_muthu[at]daiict[dot]ac[dot]in

I obtained my Ph.D. (2008) in the field of Theoretical Computer Science. The title of my thesis is “Acyclic Edge Colouring: Bounds and Algorithms”. I carried out the research towards my Ph.D. at The Institute of Mathematical Sciences, Chennai, India under the guidance of Prof. C.R. Subramanian.

I worked under a post-doctoral fellowship at Laboratoire de Recherche en Informatique, Universite Paris Sud, Orsay, France (2009). I worked in a team headed by Prof. Yannis Manoussakis and conducted research in the field of Structures in Edge Coloured Graphs.

I currently work at DA-IICT and my broad research interests lie in the field of Graph Algorithms. I have guided one Ph.D. student, Mahipal Jadeja who defended his thesis (2018) titled “Set Labelling of Vertices and Study of Auxiliary Graphs”. I have also guided around ten M.Tech. Theses and several B.Tech. Projects.

My current research problems include:

-Defining auxiliary or other graph classes and/or obtaining mathematical characterizations and algorithms for them;

-Weight assignment to edges of complete graphs to yield a prespecified number of minimum weight spanning trees.

I teach courses in Theoretical Computer Science and Mathematics.

Graph Theory, Data Structures, Algorithms, Automata Theory

- Rahul Muthu, N. Narayanan and C.R. Subramanian

Improved bounds on Acyclic Edge Colouring

Proceedings of the 2nd Brazilian Symposium on Graphs, Algorithms and Combinatorics, GRACO-2005, Electronic Notes in Discrete Mathematics, Volume 19, Pages 171-177. - Rahul Muthu, N. Narayanan and C.R. Subramanian

Optimal acyclic edge colouring of grid-like graphs

Proceedings of the 12th Annual International Computing and Combinatorics Conference, COCOON-2006, Lecture Notes in Computer Science, Springer, volume 4112, pages 360-367. - Rahul Muthu, N. Narayanan and C.R. Subramanian

Acyclic Edge colouring of Outerplanar graphs

Proceedings of the 3rd International Conference on Algorithmic Aspects in Information and Management, AAIM-2007, Lecture Notes in Computer Science, Springer, volume 4508, pages 144-152. - Rahul Muthu, N. Narayanan and C.R. Subramanian

k-intersection Colouring

12th Workshop on Graph Theory; Colourings, Indepen- dence and Domination, CID 2007. - V. Borozan, W. Fernandez de la Vega, Y. Manoussakis, C. A. Martinhon, R. Muthu and R. Saad

Colored Trees in Edge-Colored Graphs

8th CTW09, Paris, June 2009. - Raquel Agueda, Valentin Borozan, Yannis Manoussakis, Gervais Mendy and Rahul Muthu

Sufficient conditions for the existence of spanning colored trees in edge-colored graphs

8th French Combinatorial Conference, Paris, June, 2010. - R. Goyal, M. Jadeja, R. Muthu and B. Patel

A New Characterisation of Total Graphs

19th Japan-Korea Joint Workshop on Algorithms and Computation (WAAC 2016), Hakodate, Japan, 2016. - M. Jadeja and R. Muthu

Labeled Object Treemap: A New Graph-Labeling Based Technique for Visualizing

Multiple Hierarchies

19th Japan-Korea Joint Workshop on Algorithms and Computation (WAAC 2016), Hakodate, Japan, 2016.

- Rahul Muthu, N. Narayanan and C.R. Subramanian

Improved bounds on acyclic edge coloring

Discrete Mathematics, volume 307, number 23, 2007, pages 3063-3069. - Rahul Muthu, N. Narayanan and C.R. Subramanian

Optimal acyclic edge coloring of grid like graphs

Discrete Mathematics 310 (21), 2769-2775. - R Agueda, V Borozan, Y Manoussakis, G Mendy, R Muthu

Sufficient conditions for the existence of spanning colored trees in edge-colored

graphs

Discrete Mathematics 312 (17), 2694-2699 - M. Jadeja, R. Muthu and V. Sunitha

Set Labelling Vertices To Ensure Adjacency Coincides with Disjointness

Electronic Notes in Discrete Mathematics vol. 63, pages 237-244 - M. Jadeja and R. Muthu

Labeled Object Treemap: A New Graph-Labeling Based Technique for Visualizing

Multiple Hierarchies

Annals of Pure and Applied Mathematics, vol. 13, no. 1, pp. 49-62, January 2017. - M. Jadeja and R. Muthu

Uniform Set Labelling Vertices To Ensure Adjacency Coincides With Disjointness

Journal of Mathematical and Computational Science, vol. 7, no. 3, pp. 537-553, May 2017. - V. Borozan, W. Fernandez de la Vega, Y. Manoussakis, Rahul Muthu and Hong-Phong Pham

Trees in Edge-Colored graphs

European Journal of Combinatorics -Elsevier- (accepted and in press), 2018.

- Rahul Muthu, N. Narayanan and C.R. Subramanian

Acyclic Edge Colouring of Partial 2-Trees. - Rahul Muthu and C.R. Subramanian

Cartesian Products and Acyclic Edge Colouring. - Rahul Muthu, N. Narayanan and C.R. Subramanian

Some graph classes satisfying acyclic edge colouring conjecture. - Abhishek Garg, Mahipal Jadeja and Rahul Muthu

Spanning Tree Auxiliary Graphs.

- Data Structures
- Introduction to Graph Theory
- Formal Specification & Verification
- Approximation Algorithms
- Design & Analysis of Algorithms
- Graph Theory & Algorithms