BALTIC HORIZONS

EuroAcademy Series

ISSN 1736-1834
EuroAcademy
Mustamäe tee 4,
Tallinn 10621, Estonia
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No 14 (111) DECEMBER 2010

Special issue Dedicated to Fundamental Research in Mathematics and Applications of Graph Theory in Collaboration with the Institute of Mathematics, Gurgaon, India.

Editorial Board: Jüri Martin (Chief Editor), Peeter Karing, John-Tagore Tevet, Aune Altmets (Assistant Editor)

Guest Editors: Ashay Dharwadker (Institute of Mathematics, Gurgaon), Vinay Dharwadker (University of Wisconsin-Madison)

CONTENTS
From Fundamental Problems to Applications of Graph Theory
by Jüri Martin and John-Tagore Tevet
4
Applications of Graph Theory
by Shariefuddin Pirzada and Ashay Dharwadker
6
Cliques of Graphs Using the J-Programming Language
by Leo Vöhandu
18
A New Proof of the Four Colour Theorem
by Ashay Dharwadker
23
The Graph Isomorphism Algorithm
by Ashay Dharwadker and John-Tagore Tevet
51
Regularities in Graphs
by John-Tagore Tevet
74
Score Sequences of Semicomplete Directed k-Hypergraphs
by Shariefuddin Pirzada
86
Space, Time and Matter
by Ashay Dharwadker and Vinay Dharwadker
92
Semiotic 'Mystery' of Canonical Presentation, Isomorphism and Reconstruction
by John-Tagore Tevet
119

Copyright © EuroAcademy and Institute of Mathematics 2010