Measure and category (or rather, their recursion-theoretical counterparts) have been used in theoretical computer science to make precise the intuitive notion “for most of the recursive sets”. We use the notions of effective measure and category to discuss the relative sizes of inferrible sets, and their complements. We find that inferable sets become large rather quickly in the standard hierar...

C.N.Patra 1,3 , L.B.Bhuiyan 2 1 Theoretical Chemistry Section, RC & CD Division, Chemistry Group, Bhabha Atomic Research Centre, Mumbai 400 085, India 2 Laboratory of Theoretical Physics, Department of Physics, Box 23343, University of Puerto Rico, San Juan, Puerto Rico 00931–3343 3 Department of Materials Science and Engineering University of Utah 122 S. Central Campus Drive Salt Lake City, Ut...

S. J. A. van Gisbergen,*,† J. A. Groeneveld,† A. Rosa,‡ J. G. Snijders,§ and E. J. Baerends*,† Section Theoretical Chemistry, Vrije UniVersiteit, De Boelelaan 1083, 1081 HV, Amsterdam, The Netherlands, Dipartimento di Chimica, UniVersità della Basilicata, Via N. Sauro, 85, 85100 Potenza, Italy, and Theoretical Chemistry and Materials Science Centre, RijksuniVersiteit Groningen, Nijenborgh 4, 97...

networks S. C. Desai, A. H. Willitsford, G. U. Sumanasekera, M. Yu, W. Q. Tian, C. S. Jayanthi, and S. Y. Wu Department of Electrical and Computer Engineering, University of Louisville, Louisville, Kentucky 40292, USA Department of Physics and Astronomy, University of Louisville, Louisville, Kentucky 40292, USA State Key Laboratory of Theoretical and Computational Chemistry, Institute of Theore...

Altan derivatives of polycyclic conjugated hydrocarbons were recently introduced and studied in theoretical organic chemistry. We now provide a generalization of the altan concept, applicable to any graph. Several earlier noticed topological properties of altan derivatives of polycyclic conjugated hydrocarbons are shown to be the properties of all altan derivatives of all graphs. Among these ar...