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| Aims |
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The IoM
Charter - Fundamental Research in Mathematics and its Applications. |
| Members |
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Ashay
Dharwadker - Institute of Mathematics, Gurgaon. Mathematics and its
applications, algebra, topology, graph theory, computer science and physics.
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John-Tagore Tevet
- Structure Semiotics Research Group S.E.R.R., Eurouniversity, Tallinn.
Graph theory and its semiotic interpretations.
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Jüri
Martin - Member of the Estonian Academy of Sciences and Rector of Eurouniversity,
Tallinn. Ecology and environmental research using mathematical methods.
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Sanjay
Dharwadker - Sagem Sécurité, Johannesburg. Mathematics
and its applications, biometrics and smart card technology.
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Shariefuddin
Pirzada - Department of Mathematics, University of Kashmir, Srinagar.
Mathematics and its applications, combinatorics and graph theory.
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Vinay
Dharwadker - Department of Languages and Cultures of Asia, University
of Wisconsin, Madison. Physics, mathematics and semiotics.
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Vladimir
Khachatryan - Department of Physics and Astronomy, State University
of New York, Stony Brook. Mathematics, physics and nuclear theory.
|
| Research |
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Ashay Dharwadker
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A New Proof
of the Four Colour Theorem - A new proof of the famous four color theorem
using group theory and Steiner systems, 2000.
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The
Witt Design - The Steiner system S(5, 8, 24) explicitly computed, 2001.
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Riemann
Surfaces - Geometrical models of Riemann surfaces, 2002.
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Heptahedron
and Roman Surface - Construction of the Roman surface from Hilbert's
heptahedron, 2003.
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Hamiltonian
Circuit Algorithm - A new algorithm for finding Hamiltonian circuits
with a constructive proof of Dirac's theorem and applications to finding
Knight's Tours, 2004.
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Common
Systems of Coset Representatives - Proof of existence of a common system
of representatives for the left and right cosets of a finite subgroup of
a group, 2005.
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The
Vertex Cover Algorithm - A polynomial-time algorithm for finding minimal
vertex covers in a graph, 2006.
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The
Independent Set Algorithm - A polynomial-time algorithm for finding
maximal independent sets in a graph with new bounds on Ramsey numbers,
2006.
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The Clique
Algorithm - A polynomial-time algorithm for finding maximal cliques
in a graph with new bounds on Ramsey numbers, 2006.
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The
Vertex Coloring Algorithm - A polynomial-time algorithm for coloring
the vertices of a graph with a new constructive proof of Brooks' theorem,
2006.
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Grand
Unification of the Standard Model with Quantum Gravity - The mathematical
proof of the four colour theorem directly implies the existence of the
standard model together with quantum gravity in its physical interpretation.
Conversely, the experimentally observable standard model and quantum gravity
show that nature applies the mathematical proof of the four colour theorem
at the most fundamental level, 2008.
Shariefuddin Pirzada and Ashay Dharwadker
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Applications
of Graph Theory - Graph theoretic proofs of the Cantor-Schröder-Bernstein
theorem, Fermat's little theorem and the Nielson-Schreier theorem. Applications
of graph theory to DNA sequencing, computer network security, scheduling
and GSM mobile phone networks, 2007.
Ashay Dharwadker and John-Tagore Tevet
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The
Graph Isomorphism Algorithm - A polynomial-time algorithm for determining
whether two graphs are isomorphic, showing that the Graph Isomorphism Problem
is in
P, 2009.
John-Tagore Tevet
Vladimir Khachatryan
Ashay Dharwadker and Vladimir Khachatryan
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Higgs
Boson Mass predicted by the Four Color Theorem - Based on the proof of the four color theorem and the grand unification of the standard model with quantum gravity, we show how to derive the values of the famous Cabibbo angle and CKM matrix, in excellent agreement with experimental observations. We make a precise prediction for the elusive Higgs boson mass MH0 = 125.992 ~ 126 GeV, as a direct consequence of our theory, 2009.
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| Seminars |
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| Celebrating 270 Years of Graph Theory, Tallinn,
2006 |
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Graph
Isomorphism is in P - A special S.E.R.R. seminar to announce that the
famous Graph Isomorphism Problem is in P, organized by John-Tagore
Tevet at Eurouniversity in 2009.
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Graph Isomorphism is in P, Gurgaon-Tallinn,
2009
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| Books |
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Shariefuddin Pirzada and
Ashay Dharwadker
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Graph
Theory - Orient Longman and Universities Press of India, 2008.
John-Tagore Tevet
Jüri Martin and John-Tagore Tevet
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| Exhibits |
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Helen
Kauksi 1950-2008 |
| Lectures |
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Today's
Lecture at the Institute of Mathematics |
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Copyright © Institute
of Mathematics 2000-2009
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