The polynomial model in the study of counterexamples to S. Piccard's theorem

Ars Combinatoria

Volumn 48, Issue , 1998, Pages 43-63

  Yovanof, G S ^a   Golomb, S W ^b  

^a HEWLETT PACKARD LABORATORIES   (United States)

^b University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039449675     PISSN: 03817032     EISSN: 28175204     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. S. Piccard, Sur les Ensembles de Distances des Ensembles d'un Espace Euclidien, Mémoires de L'Université de Neuchâtel, 13 (1939), Paris: Libraire Gauthier-Villars & Cie.
2. G.S. Bloom, A Counterexample to a Theorem of S. Piccard, J. Combinatorial Theory 22 (1977).
3. G.S. Bloom and S.W. Golomb, Applications of numbered undirected graphs, Proc. IEEE, 65, 4 (1977), 562-570.
4. G.S. Yovanof, Homometric Structures, Ph.D thesis, USC, August 1988.
5. E. Postpischil and P. Gilbert, There Are No New Homometric Golomb Ruler Pairs with 12 Marks or Less, Experimental Mathematics, 3 (2) (1994), 147-152.
6. J. Rosenblatt and P.D. Seymour, The Structure of Homometric Sets, SIAM J. Alg. Disc. Math., 3 (3) (1982).
7. G.S. Bloom, Numbered Undirected Graphs and their uses, Ph.D thesis, USC, 1975.