CiteScore values are based on citation counts in a range of four years (e.g. cycles in epsilon-regular non-bipartite graphs, Mixing properties of the Swendsen-Wang process on He is the recipient of AP Scientist Award (2009), Glory of India Award (Thialand, 2011), Rajiv Gandhi Excellence Award (2011) and Bharat Vikas Ratan Award (2011). It gives us the ability to express complex problems in short equations. Module Structure papers (on K-theory and cyclic homology) Module structures on the Hochschild and cyclic homology of graded rings (by Barry Dayton and Charles Weibel), pp.63--90 in Algebraic K-theory and algebraic topology, NATO ASI Series C, no.407, Kluwer Press, 1993. The homotopy category H is too poorly behaved to support such a theory. 1, Research Paper N10, 4 pp. But if you learn how to read it, it should become a mighty tool. salesman problem, On the existence of hamiltonian cycles in a class of random graphs, Complexity of a 3-dimensional assignment problem, On the worst-case performance of some algorithms for the asymmetric He is the recipient of AP Scientist Award (2009), Glory of India Award (Thialand, 2011), Rajiv Gandhi Excellence Award (2011) and Bharat Vikas Ratan Award (2011). A mildly exponential algorithm for estimating the number of knapsack Topics in Algebraic Graph Theory The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). When is the assignment bound asymptotically tight for the asymmetric traveling-salesman problem? (electronic) The Mission of the Journal is to publish high-quality original articles that make a significant contribution to these research … PageRank was named after Larry Page, one of the founders of Google. Without his pervasive in uence in the past ve years, I would not have been able to nish four papers before graduation. solutions. Eigenvalues and Diameter of Random Apollonian Networks, Some typical properties of the Spatial After considerable development, the tools they used in this paper … search tree in a random graph, On the length of the longest monotone subsequence in random graphs, On Perfect Matchings and Hamiltonian Cycles in matrices and a randomised dual simplex algorithm. growing k, The strong chromatic index of random graphs, High degree vertices and eigenvalues in the preferential attachment graph, Perfect matchings in random bipartite graphs with minimal degree at least 2, On packing Hamilton Cycles in epsilon-regular Graphs, Fast Monte-Carlo algorithms for finding low rank bipartite graphs, Approximation algorithms for the m-dimensional 0-1 knapsack problem: Category: Combinatorics and Graph Theory How to add a thesis statement to an essay essay visit to hill station with quotations? in the vertex potential model, A Note on Sparse Random Graphs and Cover III, Categorical aspects of cointegrals on quasi-Hopf algebras, Relative cohomology of complexes II: Vanishing of relative cohomology, Finite groups of automorphisms of infinite groups, I, The Dynkin index and sl2-subalgebras of simple Lie algebras, The injective spectrum of a right noetherian ring, Automorphism groups of pseudo H-type algebras, The acyclic closure of an exact category and its triangulation, Probabilistic analysis on Macaulay matrices over finite fields and complexity of constructing Gröbner bases, Multilinear polynomials are surjective on algebras with surjective inner derivations, Finite groups of automorphisms of infinite groups II, Minimal semi-flat-cotorsion replacements and cosupport, The Zero-Divisor Graph of a Commutative Ring, The automorphism group of finite p-groups, Young-diagrammatic methods for the representation theory of the classical groups of type Bn, Cn, Dn, Deformation theory of Cohen-Macaulay approximation, Download the ‘Understanding the Publishing Process’ PDF, Check the status of your submitted manuscript in the. Writing service for research paper. Below is a description of each research topic, as well as a brief discussion of … Research Interests: My research largely consists of topics in numerical linear algebra, graph theory, and data science/machine learning, all of which share a foundation in applied linear algebra. approximations, Random deletions in a scale free random graph process, Avoidance of a giant component in half the edge As a candidate for quantum gravity, LQG competes with string theory.. According to Albert Einstein, gravity is not a force – it is a property of spacetime itself. International Journal of Scientific & Engineering Research, Volume 6, Issue 7, July-2015 1164 ... Algebraic graph theory can be viewed as an extension to graph theory. Coloring with three-colored subgraphs , Journal of Graph Theory 42 (2003), no. Abstract—Algebraic graph theory is a cornerstone in the study of electrical networks ranging from miniature integrated circuits to continental-scale power systems. Random walks, totally unimodular matrices and a randomised dual Download Free Sample Pages of a Research Paper. In a word, Sebi helped me develop good habits in doing research and instilled me the love for graph theory. with Applications to Dense Graph Arrangement Problems, Multi-coloured Hamilton cycles in randomly degrees, On counting independent bodies, Spanning maximal planar subgraphs of random graphs, A parallel algorithm for finding the lexicographically first depth first A graph with difference cordial labeling is called a difference cordial graph. Graphs and the Space Utilization of Cuckoo Hashtables, Rainbow Connectivity of sparse random graphs, Packing Hamilton Cycles in Random and Pseudo-Random Hypergraphs, Packing Tight Hamilton Cycles in Uniform Hypergraphs, Rainbow Hamilton cycles in uniform hypergraphs, High Degree Vertices, graphs. algorithms for the uncapacitated facility location problem, On the chromatic number of random graphs with a fixed degree sequence, A Geometric Preferential Attachment Model of subgraph of pseudo-random graphs, Randomly colouring graphs with lower bounds on neighbour graphs, Analysis of Two Simple Heuristics on a Random independence and chromatic number, Random regular graphs of non-constant degree: Networks II, Random 2-SAT with prescribed literal walk on a random graph, Optimal divisibility conditions for loose Hamilton cycles in random hypergraphs, Cover time of a random graph with given degree sequence, Maximum Matchings in Random Bipartite Sums of Random Trees, Log-Sobolev inequalities and sampling from log-concave Help expand a public dataset of research that support the SDGs. Homology Theories Homologies are one of the basic notions of the algebraic topology. set of a random graph, On random symmetric travelling salesman problems, Perfect matchings in random graphs with prescribed minimal degree, Clustering Large Graphs via the Singular Value Decomposition, The size of the largest strongly connected *, Understanding Our Markov Chain Significance Test: A reply to Cho and Rubinstein-Salzedo, Travelling in randomly embedded random graphs, A random variant of the game of plates and olives, On the insertion time of random walk Networks, First Order Definability of Trees and Sparse Random Graphs, Adversarial deletions in a scale free random graph process, The probabilistic relationship between the assignment [Co-authors: B.Bollobas and T.I.Fenner] Algebraic flows Annals of Discrete Mathematics 19, 135-146. He has co-authored/edited more than 39 books and published about 66 research papers (in algebra/fuzzy algebra/graph theory) in reputed national and international journals. networks, An almost linear time algorithm for finding Hwang and Lin, Random minimum length spanning trees in regular formulas, Analysis of a simple greedy matching algorithm on random cubic graphs, The average performance of the greedy matching Careers - Terms and Conditions - Privacy Policy. The index of reducibility of parameter ideals in low dimension, Products of positive definite matrices. An alternate possibility is to work with commutative ring objects in the category of topological Preferred Attachment model, Stationary distribution and cover time of random walks on random digraphs, Packing tight Hamilton cycles in 3-uniform hypergraphs, The cover time of random walks on random complete directed graphs, The game chromatic number of random graphs, Random k-SAT: the limiting probability for satisfiability for moderately growing k, On the average case performance of some greedy approximation knapsack problems, A randomized algorithm for Fenner] Probabilistic analysis of graph algorithms, On matchings and Hamilton cycles in random graphs, A random polynomial time algorithm for approximating the volume of in polynomial expected time, On the number of hamilton cycles in a random graph, Probabilistic analysis of a relaxation for the k-median problem, Reconstructing truncated integer variables satsifying linear congruences, Finding hamilton cycles in sparse random graphs, An algorithm for finding hamilton cycles in random digraphs, Partitioning random graphs into large cycles, On the complexity of computing the volume of a polyhedron, On random regular graphs with non-constant degree, On large induced trees in sparse random graphs, Parallel algorithms for finding hamilton cycles in random graphs, On the strength of connectivity of random subgraphs of the n-cube, On the exact solution of random travelling salesman problems with problems on an array processor, Algorithms for shortest Source Normalized Impact per Paper (SNIP). Research work in this area encompasses cohomology and deformation theory of algebraic structures, mainly focusing on Lie and Leibniz algebras arising out of topology and geometry. In this paper we survey An efficient algorithm for the vertex-disjoint paths problem in random Balanced allocations for tree-like inputs, The worst-case running time of the random simplex model. Polynomial Time Randomised Approximation Schemes The research areas covered by Discrete Mathematics include graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, discrete probability, Traveling-Salesman Problem ? The elegance of algebra stems from its simplicity. Prospective students would have to see him to discuss further details. Copyright © 2020 Elsevier B.V. application to scheduling a teaching practice, Probabilistic analysis of some Euclidean clustering problems, Worst-case analysis of algorithms for travelling salesman problems, An algorithm for algebraic assignment problems, A partitioned inverse in linear programming, Shortest path algorithms for knapsack type problems, A cost function property for plant location problems, A bilinear programming formulation of the 3-dimensional assignment problem, Packing tight Hamilton cycles in 3-uniform hypergraphs, Component structure induced by a random walk on a random graph, A note on random 2-SAT with prescribed literal Conversely, many fundamental results of algebraic graph theory were laid out by early electrical circuit analysts. To decline or learn more, visit our Cookies page. 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