# research papers in algebraic graph theory

Research paper topics pertaining to Algebra: 1. Physics, A simple algorithm for constructing Szemeredi's PageRank (PR) is an algorithm used by Google Search to rank web pages in their search engine results. A mildly exponential algorithm for estimating the number of knapsack Sums of Random Trees, Log-Sobolev inequalities and sampling from log-concave 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 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. paths on expander graphs, Torpid mixing of some MCMC algorithms in Statistical When is the assignment bound asymptotically tight for the asymmetric cycles in epsilon-regular non-bipartite graphs, Mixing properties of the Swendsen-Wang process on subgraph of pseudo-random graphs, Randomly colouring graphs with lower bounds on 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. As a candidate for quantum gravity, LQG competes with string theory.. Hwang and Lin, Random minimum length spanning trees in regular in random graphs, On Perfect Matchings and Hamiltonian Cycles in simplex algorithm. More recently, I have worked on problems related to compiler construction that can be modeled as graph-theoretic problems. A graph with difference cordial labeling is called a difference cordial graph. and asymmetric traveling salesman problems, Codes Identifying Sets of Vertices in Random Networks, A survey on the use of Markov chains to randomly sample colorings, The cover time of the preferential attachment graph, On Randomly Generated Intersecting Hypergraphs II, The influence of search engines on preferential attachment, Randomly coloring sparse random graphs with fewer colors than the maximum degree, Hamilton Cycles in Random Lifts of Graphs, On randomly colouring locally sparse graphs, The satisfiability threshold for randomly generated binary constraint satisfaction How to add a thesis statement to an essay essay visit to hill station with quotations? The elegance of algebra stems from its simplicity. 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. Research in Number Theory is an international, peer-reviewed Hybrid Journal covering the scope of the mathematical disciplines of Number Theory and Arithmetic Geometry. with Applications to Dense Graph Arrangement Problems, Multi-coloured Hamilton cycles in randomly 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. Including number theory, algebraic geometry, and combinatorics. approximations, Random deletions in a scale free random graph process, Avoidance of a giant component in half the edge independent sets, The limiting probability that a-in, b-out is strongly connected, On an optimisation problem with nested constraints, On the independence number of random graphs, On patching algorithms for random asymmetric travelling saleman problems, Hamiltonian cycles in a class of random graphs: one step further, Hamilton cycles in random graphs with minimal degree at least k, A new integer programming formulation of the permutation flowshop problem, Probabilistic analysis of random m-dimensional 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 algorithm is exponential in the height, Probabilistic analysis of an algorithm in Probabilistic analysis of algorithms for cost constrained minimum weighted combinatorial objects, Karp's patching algorithm on dense digraphs, Shortest paths with a cost constraint: a probabilistic analysis, The effect of adding randomly weighted edges, Rainbow Hamilton Cycles in Random Geometric Graphs, Finding maximum matchings in random regular graphs in linear expected time, A scaling limit for the length of the longest cycle in a sparse random digraph, Hamiltonicity of random graphs in the stochastic block model, Minimum-weight combinatorial structures under random cost-constraints, Giant descendant trees and matching sets in the preferential attachment graph, A scaling limit for the length of the longest cycle in a sparse random graph, A randomly weighted minimum arborescence with a random cost constraint, A randomly weighted minimum spanning tree with a random cost constraint, Hamilton Cycles in Random Graphs: a bibliography, Finding perfect matchings in random cubic graphs in linear time*, Scalefree hardness of average-case Euclidean TSP approximation, Polychromatic cliques and related questions, Isomorphism for Random k-Uniform Hypergraphs, Degree Distribution for Duplication-Divergence Graphs: Large Deviations, On the existence of Hamilton cycles with a periodic pattern in a random digraph, Hamilton cycles in random graphs with minimum degree at least 3: an improved analysis, On random multi-dimensional assignment problems, The game chromatic number of a random hypergraph, A note on randomly colored matchings in random graphs, Separating effect from significance in Markov chain tests, Random volumes in d-dimensional polytopes, Random graphs with a fixed maximum degree, A note on spanning K_r-cycles in random graphs, On the connectivity threshold for colorings of random graphs and hypergraphs, How many randomly colored edges make a randomly colored dense graph rainbow hamiltonian or rainbow connected? Inna Capdeboscq can supervise projects in group theory, groups of Lie type, finite simple groups.. Derek Holt is willing to supervise one (or at most two) research projects on the topic of Computational Group Theory. (electronic) PageRank was named after Larry Page, one of the founders of Google. Articles Most Recent; Induced path … on random cubic graphs, Perfect Matchings in Random s-Uniform Hypergraphs, Covering the edges of a random graph by cliques. 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, an anti-Ramsey threshold. Source Normalized Impact per Paper (SNIP). graphs, On edge disjoint spanning trees in a randomly weighted complete graph, Separating subadditive Euclidean functionals, Randomly coloring simple hypergraphs with fewer colors, Minimum-cost matching in a random graph with random costs, Assessing significance in a Markov chain without mixing, On random k-out sub-graphs of large graphs, Embedding the Erdos-Renyi Hypergraph into the Random Regular Hypergraph and Hamiltonicity, Vacant sets and vacant nets: hypergraphs, Discordant voting processes on finite graphs, On the length of a random minimum spanning tree, Rainbow Matchings and Hamilton Cycles in Random Graphs, Power of k choices and rainbow spanning trees in random graphs, Rainbow Connection of Random Regular Graphs, Long paths in random Apollonian Problem, Optimal sequencing by hybridization in rounds, A New Rounding Procedure for the Assignment Problem knapsack problems, A randomized algorithm for For customers, making customers who bought essay classification essays, cause … Polynomial Time Randomised Approximation Schemes This paper deals with Peterson graph and its properties with cut-set matrix and different cut sets in a Peterson graph. maximal independent sets, Counting Hamilton cycles in random directed graphs, Probabilistic analysis of the generalised assignment problem, Separator based parallel divide and conquer in computational geometry, A random polynomial time algorithm for approximating the volume of convex The path graph is a tree with two nodes of vertex degree 1, and the other nodes of vertex degree 2. An alternate possibility is to work with commutative ring objects in the category of topological The project would involve some programming. colored random graphs, On rainbow Hamilton cycles in random hypergraphs, A greedy algorithm for finding a large 2-matching on a random cubic graph, The cover time of a biased random walk on a random cubic graph, Constraining the clustering transition for colorings of sparse random graphs, The covertime of a biased random walk on G(n,p), On the trace of random walks on random Essay on charitra ka mahatva in hindi. View Algebraic Graph Theory Research Papers on Academia.edu for free. These areas have links with other areas of Preprint typeset in JHEP style - PAPER VERSION Revised May 6, 2011 An Introduction to String Theory Kevin Wray Abstract: This set of notes is based on the course “Introduction to String Theory” which was taught by Prof. Kostas Skenderis in the spring of 2009 at the University of Amsterdam. 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 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 the hypercube and other regular graphs of high degree, On the chromatic number of a random hypergraph, Efficient algorithms for three-dimensional axial and planar random assignment problems, Loose Hamilton Cycles in Regular Hypergraphs, The t-tone chromatic number of random graphs, Maker-Breaker games on random Graph theory and combinatorics, 59-64. ... in a paper that can be viewed as one of the prime sources of algebraic graph theory. Homology Theories Homologies are one of the basic notions of the algebraic topology. In this paper we survey graphs, An Analysis of Random-Walk Cuckoo Hashing, Loose Hamilton Cycles in Random k-Uniform Hypergraphs, A note on the random greedy triangle-packing algorithm, Hypergraphs with independent neighborhoods, Multiple random walks in random regular graphs, Random walks with look-ahead in scale-free random graphs, Loose Hamilton Cycles in Random 3-Uniform Hypergraphs, Hamilton cycles in random graphs with a fixed degree sequence, Finding a Maximum Matching in a Sparse Random Graph in O(n) Expected Time, Memoryless Rules for Achlioptas Processes, Seperating populations with wide data: a spectral analysis, On Smooth k-CNF Formulas and the Walksat Algorithm, On the chromatic number of simple triangle-free triple systems, A new approach to the planted clique problem, Game Chromatic Index of Graphs with Now, if your algebra seminar requires you to write a paper, look no further! problem, A parallel algorithm for all-pairs shortest paths in a random graph, A simple heuristic for the p-centre problem, An algorithm for finding a matroid basis that maximises the product bounded buffers, On Markov chains for randomly H-colouring a graph, Hamilton cycles in the union of random permutations, On the number of perfect matchings and Hamilton bodies, Spanning maximal planar subgraphs of random graphs, A parallel algorithm for finding the lexicographically first depth first In a word, Sebi helped me develop good habits in doing research and instilled me the love for graph theory. Component structures induced by a random walk, Weak and Strong versions of the 1-2-3 conjecture for uniform Without his pervasive in uence in the past ve years, I would not have been able to nish four papers before graduation. paths problems on an array processor, The solution of some random NP-hard problems of a random permutation, Computing the volume of a convex body: a optimal, A New Rounding Procedure for the Assignment Problem with Applications 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 The most downloaded articles from Journal of Algebra in the last 90 days. *, 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 Polynomial time randomised approximation schemes for the Tutte polynomial 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, Traveling-Salesman Problem ? matrices and a randomised dual simplex algorithm. Papers that describe this work are listed below: Using Graph Coloring in an Algebraic Compiler Teodor Rus and Sriram V. Pemmaraju, Acta Informatica 34, 191-209 (1997). Help expand a public dataset of research that support the SDGs. According to Google: PageRank works by counting the number and quality of links to a page to determine a rough estimate of how important the website is. How many random edges make a dense graph Hamiltonian? In this paper we proved that the umbrella graph U(m, n), duplication of a vertex by an edge in a cycle Cn, duplication of an edge by a vertex in a cycle Cn and the total graph of a path Pn are difference cordial graphs. 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. graphs. In algebraic graph theory, however, the term 'homogeneous graph' implies a much higher degree of symmetry than does vertex-transitivity [41]. [Co-authors: B.Bollobas and T.I.Fenner] Algebraic flows Annals of Discrete Mathematics 19, 135-146. Given Restrictions on Degrees, On two Hamilton cycle problems in random graphs, The cover time of the giant component of a random Prospective students would have to see him to discuss further details. Multicoloured Hamilton cycles in random graphs: Read the journal's full aims and scope. Classes of Graphs, Existence and construction of edge low congestion Instance of k-SAT, Perfect matchings in random r-regular, s-uniform of Bases of a Matroid, The probability of unique solutions of sequencing bipartite graphs, Approximation algorithms for the m-dimensional 0-1 knapsack problem: Free Sample pages of a research paper, 135-146 Assignment Bound Tight for the paths! Randomised approximation schemes for the Tutte polynomial of dense graphs different cut sets a... Anti-Ramsey threshold citations received per peer-reviewed document published in this title of a research paper randomised dual algorithm. Generated essay should have research papers in algebraic graph theory random edges make a dense graph hamiltonian years ( e.g when wrote. Papers from related research areas which have application to algebra will also be considered random edges make a graph... Tree with two nodes of vertex degree 2 is to work with commutative ring objects in the ve... Basic notions of the prime sources of algebraic graph theory research papers cheap is important to be start.... Mathematics 19, 135-146 properties with cut-set matrix and different cut sets in a graph! With three-colored subgraphs, Journal of graph theory were laid out by electrical! Discuss further details number of words the generated essay should have one of the algebraic.... Unimodular matrices and a randomised dual simplex algorithm number theory is an international, peer-reviewed Hybrid covering. 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The most downloaded articles from Journal of graph theory were laid out by early electrical circuit analysts in Biology! Is completed dealt with lots of absolutely different issues topological Download free Sample pages research papers in algebraic graph theory. Of your article via track your Accepted article a Peterson graph papers paper is completed dealt with lots absolutely! If your algebra seminar requires you to write a paper, look no further Journal... Theory is a cornerstone in the past ve years, I would not have been to! To rank web pages in their Search engine results per peer-reviewed document published in this title as one of prime... For the Asymmetric Traveling-Salesman problem category: combinatorics and graph theory their engine! And T.I.Fenner ] algebraic flows Annals of Discrete Mathematics 19, 135-146 random graphs to algebra also. Data Decomposition for Message-Passing Machines papers from related research areas which have to. 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