``A Positive Proof of Ulam's Conjecture ver.3''

Sabu RYÔKAWA (1980?--, Japan)
November 10, 2002

Abstract

Ulam's Conjecture (Stanisław Marcin Ulam, 190984) had been an unsettled problem in graph theory. We concisely solved it at any directed graph under highlevel abstraction.

The related information are shown at www.geocities.co.jp/Technopolis-Jupiter/1333. Error reports to rsabu@mail.goo.ne.jp

Copyright

Permission on this paper is hereby granted, including the rights to use, copy or distribute, subject to the following condition.

  1. No warranty.
  2. Not to be reproduced, quoted or summarized for illegal purpose.
  3. You can distribute and distribute the original copy.

www.geocities.co.jp/Technopolis-Jupiter/1333
Copyright © 20012002, Sabu Ryokawa. Some rights reserved. NOT FOR SALE

Writing Method

  1. Be rational and sciential. Use effective utilities.
  2. Study "your" orthography. Moderate rhetoric power your announcement.
  3. Record and describe the objects directly, exactly and concretely with the maximum care of connotation.
  4. Apply methods of generalization, simplification, universalization, flat structuring, cross reference and automatic reconstruction.
  5. Walk over the most proper and orthodox ways in de facto standard.

Major Modifications

We altered E. M.  to XM. We found two significant errors. At "Isomorphic Matrix," corrected M x N to X x Y . At "Label of Vertex," corrected V,E to V,W.

Acknowledgements

Jorg and John Maloney's cheerful e-mails were reached. . Thank you.

When the author got troubles about writting this paper, it was helpful to find software W32TeX by A. Kakuto at Kinki University.

Material [4] is a famous mathematical dictionary in Japan.

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Bibliography

[1] Jin AKIYAMA. "AKIYAMA JIN NO ASOBI KARA TSUKURU
    SÛGAKU: RISAN SÛGAKU NO MIRYOKU". Blue Backs, 1994.
[2] Hiroshi ERA and Morimasa TSUCHIYA. "SHIRÎZU: JÔHÔ
    KAGAKU NO SÛGAKU GRAFU RIRON". Sangyô Tosho, 1996.
[3] László LAVÁSZ. "Combinatorial Problems and
    Execises". Akadéminal Kiadó, Budapest, 1979.
    (Translated into Japanese by Jin AKIYAMA and
    Hikoe ENOMOTO: "KUMIAWASE RON ENSHÛ4: SHÛGÔRON
    TEKI GRAFU RIRON", Tôkai Daigaku Shuppan Kai, 1988).
[4] Nihon Sûgakukai. "IWANAMI SÛGAKU JITEN DAI3BAN".
    Iwanami Shoten, 1994.