Deza, Michel; Chebotarev, Pavel Protometrics. (English) Zbl 1415.05045 Eur. J. Comb. 80, 43-46 (2019). MSC: 05C12 05E05 PDFBibTeX XMLCite \textit{M. Deza} and \textit{P. Chebotarev}, Eur. J. Comb. 80, 43--46 (2019; Zbl 1415.05045) Full Text: DOI arXiv
Alahmadi, Adel; Alhazmi, Husain; Ali, Shakir; Deza, Michel; Dutour Sikirić, Mathieu; Solé, Patrick Hypercube emulation of interconnection networks topologies. (English) Zbl 1348.05057 Math. Methods Appl. Sci. 39, No. 16, 4856-4865 (2016). MSC: 05C10 05C82 05C65 68R10 PDFBibTeX XMLCite \textit{A. Alahmadi} et al., Math. Methods Appl. Sci. 39, No. 16, 4856--4865 (2016; Zbl 1348.05057) Full Text: DOI arXiv
Deza, Michel Marie; Deza, Elena Encyclopedia of distances. 4th edition. (English) Zbl 1351.51001 Berlin: Springer (ISBN 978-3-662-52843-3/hbk; 978-3-662-52844-0/ebook). xxii, 756 p. (2016). MSC: 51-00 00A20 92-00 53-00 57M25 51K05 54-00 54E35 54E40 53C20 57M99 52A10 52A20 92B05 PDFBibTeX XMLCite \textit{M. M. Deza} and \textit{E. Deza}, Encyclopedia of distances. 4th edition. Berlin: Springer (2016; Zbl 1351.51001) Full Text: DOI
Deza, Michel Marie; Deza, Elena Encyclopedia of distances. 3rd ed. (English) Zbl 1301.51001 Berlin: Springer (ISBN 978-3-662-44341-5/hbk; 978-3-662-44342-2/ebook). xx, 733 p. (2014). Reviewer: Gertraud Ehrig (Berlin) MSC: 51-00 00A20 53-00 55-02 51P05 52A10 92B05 52A20 92-00 57M25 51K05 PDFBibTeX XMLCite \textit{M. M. Deza} and \textit{E. Deza}, Encyclopedia of distances. 3rd ed. Berlin: Springer (2014; Zbl 1301.51001) Full Text: DOI
Debroni, Sean; Delisle, Erin; Myrvold, Wendy; Sethi, Amit; Whitney, Joseph; Woodcock, Jennifer; Fowler, Patrick W.; de La Vaissière, Benoit; Deza, Michel Maximum independent sets of the 120-cell and other regular polyhedra. (English) Zbl 1290.05116 Ars Math. Contemp. 6, No. 2, 197-210 (2013). MSC: 05C69 05C85 05C10 05C12 PDFBibTeX XMLCite \textit{S. Debroni} et al., Ars Math. Contemp. 6, No. 2, 197--210 (2013; Zbl 1290.05116) Full Text: DOI
Chebotarev, Pavel; Deza, Michel A topological interpretation of the walk distances. (English) Zbl 1269.05028 Mucherino, Antonio (ed.) et al., Distance geometry. Theory, methods, and applications. New York, NY: Springer (ISBN 978-1-4614-5127-3/hbk; 978-1-4614-5128-0/ebook). 121-135 (2013). MSC: 05C12 05C81 05C82 PDFBibTeX XMLCite \textit{P. Chebotarev} and \textit{M. Deza}, in: Distance geometry. Theory, methods, and applications. New York, NY: Springer. 121--135 (2013; Zbl 1269.05028) Full Text: DOI arXiv
Deza, Michel Marie; Deza, Elena Encyclopedia of distances. 2nd ed. (English) Zbl 1259.51001 Berlin: Springer (ISBN 978-3-642-30957-1/hbk; 978-3-642-30958-8/ebook). xviii, 650 p. (2013). Reviewer: Gertraud Ehrig (Berlin) MSC: 51-00 53-00 55-00 52A10 52A20 57M25 51K05 00A20 PDFBibTeX XMLCite \textit{M. M. Deza} and \textit{E. Deza}, Encyclopedia of distances. 2nd ed. Berlin: Springer (2013; Zbl 1259.51001) Full Text: DOI
Deza, Michel Some problems, I care most. (English) Zbl 1228.52001 Eur. J. Comb. 31, No. 2, 649-675 (2010). Reviewer: Herman J. Servatius (Worcester) MSC: 52-02 51-02 05-02 05B35 05C12 05C90 52B05 51K05 52B20 PDFBibTeX XMLCite \textit{M. Deza}, Eur. J. Comb. 31, No. 2, 649--675 (2010; Zbl 1228.52001) Full Text: DOI
Deza, Michel Marie; Laurent, Monique Geometry of cuts and metrics. Paperback reprint of the 1997 original. (English) Zbl 1210.52001 Algorithms and Combinatorics 15. Dordrecht: Springer (ISBN 978-3-642-04294-2/pbk; 978-3-642-04295-9/ebook). xii, 587 p. (2010). Reviewer: Robert Dawson (Halifax) MSC: 52-02 05-02 52C07 52B12 68R05 90C57 05C12 05B30 PDFBibTeX XMLCite \textit{M. M. Deza} and \textit{M. Laurent}, Geometry of cuts and metrics. Paperback reprint of the 1997 original. Dordrecht: Springer (2010; Zbl 1210.52001) Full Text: DOI
Deza, M.; Shpectorov, S. Polyhexes that are \(\ell _1\) graphs. (English) Zbl 1221.05110 Eur. J. Comb. 30, No. 5, 1090-1100 (2009). Reviewer: Van Bang Le (Rostock) MSC: 05C12 05C38 PDFBibTeX XMLCite \textit{M. Deza} and \textit{S. Shpectorov}, Eur. J. Comb. 30, No. 5, 1090--1100 (2009; Zbl 1221.05110) Full Text: DOI
Deza, Michel Marie; Deza, Elena Encyclopedia of distances. (English) Zbl 1167.51001 Berlin: Springer (ISBN 978-3-642-00233-5/hbk; 978-3-642-00234-2/ebook). xiv, 590 p., with CD-ROM. (2009). Reviewer: Gertraud Ehrig (Berlin) MSC: 51-00 53-00 55-00 52A10 52A20 57M25 51K05 PDFBibTeX XMLCite \textit{M. M. Deza} and \textit{E. Deza}, Encyclopedia of distances. Berlin: Springer (2009; Zbl 1167.51001) Full Text: DOI
Deza, Michel; Grishukhin, V.; Shtogrin, M. Scale-isometric polytopal graphs in hypercubes and cubic lattices. Polytopes in hypercubes and \(Z_n\). (English) Zbl 1054.52007 London: Imperial College Press (ISBN 1-86094-421-3/hbk). ix, 175 p. (2004). Reviewer: Robert Dawson (Halifax) MSC: 52B11 52-02 05-02 05C12 PDFBibTeX XMLCite \textit{M. Deza} et al., Scale-isometric polytopal graphs in hypercubes and cubic lattices. Polytopes in hypercubes and \(Z_n\). London: Imperial College Press (2004; Zbl 1054.52007)
Deza, M.; Shtogrin, M. I. A criterion for the embeddability of \((r,q)\)-polycycles. (English. Russian original) Zbl 1045.05035 Russ. Math. Surv. 57, No. 3, 589-591 (2002); translation from Usp. Mat. Nauk 57, No. 3, 149-150 (2002). Reviewer: S. V. Duzhin (MR 2003f:05033) MSC: 05C10 05C12 PDFBibTeX XMLCite \textit{M. Deza} and \textit{M. I. Shtogrin}, Russ. Math. Surv. 57, No. 3, 589--591 (2002; Zbl 1045.05035); translation from Usp. Mat. Nauk 57, No. 3, 149--150 (2002) Full Text: DOI
Deza, Michel; Pasechnik, Dmitrii V. On equicut graphs. (English) Zbl 1011.05021 Mult.-Valued Log. 7, No. 5-6, 363-377 (2001). MSC: 05C12 05C10 05E30 PDFBibTeX XMLCite \textit{M. Deza} and \textit{D. V. Pasechnik}, Mult.-Valued Log. 7, No. 5--6, 363--377 (2001; Zbl 1011.05021) Full Text: arXiv
Deza, Michel; Grishukhin, Viatcheslav Hypermetric two-distance spaces. (English) Zbl 1219.05049 J. Comb. Inf. Syst. Sci. 25, No. 1-4, 89-132 (2000). MSC: 05C12 PDFBibTeX XMLCite \textit{M. Deza} and \textit{V. Grishukhin}, J. Comb. Inf. Syst. Sci. 25, No. 1--4, 89--132 (2000; Zbl 1219.05049)
Deza, M.; Shtogrin, M. I. Embeddings of chemical graphs in hypercubes. (English. Russian original) Zbl 0982.05096 Math. Notes 68, No. 3, 295-305 (2000); translation from Mat. Zametki 68, No. 3, 339-352 (2000). MSC: 05C90 05C10 92E10 57M15 05C12 PDFBibTeX XMLCite \textit{M. Deza} and \textit{M. I. Shtogrin}, Math. Notes 68, No. 3, 295--305 (2000; Zbl 0982.05096); translation from Mat. Zametki 68, No. 3, 339--352 (2000) Full Text: DOI
Deza, M.-M.; Rosenberg, I. G. \(n\)-semimetrics. (English) Zbl 0988.54029 Eur. J. Comb. 21, No. 6, 797-806 (2000). MSC: 54E25 51K99 52A99 PDFBibTeX XMLCite \textit{M. M. Deza} and \textit{I. G. Rosenberg}, Eur. J. Comb. 21, No. 6, 797--806 (2000; Zbl 0988.54029) Full Text: DOI
Deza, Michel; Panteleeva, Elena [Deza, Elena] Quasi-semi-metrics, oriented multi-cuts and related polyhedra. (English) Zbl 0966.52010 Eur. J. Comb. 21, No. 6, 777-795 (2000). Reviewer: Maria do Rosário Pinto (Porto) MSC: 52B11 05C12 PDFBibTeX XMLCite \textit{M. Deza} and \textit{E. Panteleeva}, Eur. J. Comb. 21, No. 6, 777--795 (2000; Zbl 0966.52010) Full Text: DOI Link
Deza, Michel; Grishukhin, Viacheslav \(l_1\)-embeddable polyhedra. (English) Zbl 0959.52011 Shum, Kar-Ping (ed.) et al., Algebras and combinatorics. Papers from the international congress, ICAC’97, Hong Kong, August 1997. Singapore: Springer. 189-210 (1999). Reviewer: V.Alexandrov (Novosibirsk) MSC: 52B11 52B10 05C12 92E10 PDFBibTeX XMLCite \textit{M. Deza} and \textit{V. Grishukhin}, in: Algebras and combinatorics. Papers from the international congress, ICAC'97, Hong Kong, August 1997. Singapore: Springer. 189--210 (1999; Zbl 0959.52011)
Chepoi, Victor; Deza, Michel; Grishukin, Viatcheslav Clin d’oeil on \(L_1\)-embeddable planar graphs. (English) Zbl 0892.05018 Discrete Appl. Math. 80, No. 1, 3-19 (1997). Reviewer: B.Mohar (Ljubljana) MSC: 05C10 05C12 05C75 92E10 PDFBibTeX XMLCite \textit{V. Chepoi} et al., Discrete Appl. Math. 80, No. 1, 3--19 (1997; Zbl 0892.05018) Full Text: DOI Link
Deza, M.; Grishukhin, V. P. A zoo of \(\ell_ 1\)-embeddable polytopal graphs. (English) Zbl 0886.05056 Bull. Inst. Math., Acad. Sin. 25, No. 3, 181-231 (1997). Reviewer: S.Mihalas (Columbus/Ohio) MSC: 05C10 PDFBibTeX XMLCite \textit{M. Deza} and \textit{V. P. Grishukhin}, Bull. Inst. Math., Acad. Sin. 25, No. 3, 181--231 (1997; Zbl 0886.05056)
Deza, Michel; Huang, Tayuan \(\ell_ 1\)-embeddability of some block graphs and cycloids. (English) Zbl 0858.05015 Bull. Inst. Math., Acad. Sin. 24, No. 2, 87-102 (1996). Reviewer: S.Mihalas (Columbus/Ohio) MSC: 05B05 05B07 05C12 PDFBibTeX XMLCite \textit{M. Deza} and \textit{T. Huang}, Bull. Inst. Math., Acad. Sin. 24, No. 2, 87--102 (1996; Zbl 0858.05015)
Deza, M.; Tůma, J. A note on \(l_ 1\)-rigid planar graphs. (English) Zbl 0851.05047 Eur. J. Comb. 17, No. 2-3, 157-160 (1996). Reviewer: B.Mohar (Ljubljana) MSC: 05C12 05C38 PDFBibTeX XMLCite \textit{M. Deza} and \textit{J. Tůma}, Eur. J. Comb. 17, No. 2--3, 157--160 (1996; Zbl 0851.05047) Full Text: DOI
Deza, M.; Grishukhin, V. P.; Laurent, M. Hypermetrics in geometry of numbers. (English) Zbl 1071.52500 Cook, William (ed.) et al., Combinatorial optimization. Papers from the DIMACS special year. Papers from workshops held at DIMACS at Rutgers University, New Brunswick, NJ, USA, Sept. 1992-Aug. 1993. Providence, RI: American Mathematical Society (ISBN 0-8218-0239-9/hbk). DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 20, 1-109 (1995). Reviewer: Martin Henk (MR1338612) MSC: 52C07 11H06 90C27 05C12 PDFBibTeX XMLCite \textit{M. Deza} et al., DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 20, 1--109 (1995; Zbl 1071.52500)
Deza, Michel; Laurent, Monique Hypercube embedding of generalized bipartite metrics. (English) Zbl 0821.05017 Discrete Appl. Math. 56, No. 2-3, 215-230 (1995). Reviewer: A.Kapralski (Fukushima) MSC: 05C10 68R10 05C99 68Q25 PDFBibTeX XMLCite \textit{M. Deza} and \textit{M. Laurent}, Discrete Appl. Math. 56, No. 2--3, 215--230 (1995; Zbl 0821.05017) Full Text: DOI
Deza, M.; Maehara, H. A few applications of negative-type inequalities. (English) Zbl 0813.05024 Graphs Comb. 10, No. 3, 255-262 (1994). Reviewer: F.Gliviak (Bratislava) MSC: 05C10 05C12 05C55 PDFBibTeX XMLCite \textit{M. Deza} and \textit{H. Maehara}, Graphs Comb. 10, No. 3, 255--262 (1994; Zbl 0813.05024) Full Text: DOI
Deza, M.; Laurent, M. \(\ell_ 1\)-rigid graphs. (English) Zbl 0802.05066 J. Algebr. Comb. 3, No. 2, 153-175 (1994). Reviewer: M.Škoviera (Bratislava) MSC: 05C78 05C12 PDFBibTeX XMLCite \textit{M. Deza} and \textit{M. Laurent}, J. Algebr. Comb. 3, No. 2, 153--175 (1994; Zbl 0802.05066) Full Text: DOI
Deza, M.; Grishukhin, P. Hypermetric graphs. (English) Zbl 0795.05120 Q. J. Math., Oxf. II. Ser. 44, No. 176, 399-433 (1993). Reviewer: M.Truszczyński (Lexington) MSC: 05C75 05E30 05C12 05C30 PDFBibTeX XMLCite \textit{M. Deza} and \textit{P. Grishukhin}, Q. J. Math., Oxf. II. Ser. 44, No. 176, 399--433 (1993; Zbl 0795.05120) Full Text: DOI
Deza, M.; Ray-Chaudhuri, D. K.; Singhi, N. M. Positive independence and enumeration of codes with a given distance pattern. (English) Zbl 0708.94019 Coding theory and design theory. Part II: Design theory, Proc. Workshop IMA Program Appl. Comb., Minneapolis/MN (USA) 1987-88, IMA Vol. Math. Appl. 21, 93-101 (1990). Reviewer: M.Deza MSC: 94B60 PDFBibTeX XML
Deza, M.; Maehara, H. Metric transforms and euclidean embeddings. (English) Zbl 0685.51010 Trans. Am. Math. Soc. 317, No. 2, 661-671 (1990). Reviewer: K.Burian MSC: 51K05 51M05 05C10 PDFBibTeX XMLCite \textit{M. Deza} and \textit{H. Maehara}, Trans. Am. Math. Soc. 317, No. 2, 661--671 (1990; Zbl 0685.51010) Full Text: DOI
Hamada, Noboru; Deza, Michel A characterization of \(\{v_{\mu +1}+\epsilon,v_{\mu};t,q\}\)-min\(\cdot hypers\) and its applications to error-correcting codes and factorial designs. (English) Zbl 0678.94011 J. Stat. Plann. Inference 22, No. 3, 323-336 (1989). MSC: 94B05 94B25 51E20 05B25 PDFBibTeX XMLCite \textit{N. Hamada} and \textit{M. Deza}, J. Stat. Plann. Inference 22, No. 3, 323--336 (1989; Zbl 0678.94011) Full Text: DOI
Hamada, Noboru; Deza, Michel Characterization of \(\{2(q+1)+2,2;t,q\}\)-\(\min \cdot hypers\) in PG(t,q) (t\(\geq 3,q\geq 5)\) and its applications to error-correcting codes. (English) Zbl 0678.94010 Discrete Math. 71, No. 3, 219-231 (1988). Reviewer: A.Bonisoli MSC: 94B05 94B25 51E20 05B25 PDFBibTeX XMLCite \textit{N. Hamada} and \textit{M. Deza}, Discrete Math. 71, No. 3, 219--231 (1988; Zbl 0678.94010) Full Text: DOI
Cameron, P. J.; Deza, M.; Frankl, P. Intersection theorems in permutation groups. (English) Zbl 0662.20003 Combinatorica 8, No. 3, 249-260 (1988). Reviewer: E.F.Assmus, jun MSC: 20B05 20B20 PDFBibTeX XMLCite \textit{P. J. Cameron} et al., Combinatorica 8, No. 3, 249--260 (1988; Zbl 0662.20003) Full Text: DOI
Deza, M.; Singhi, N. M. Rigid pentagons in hypercubes. (English) Zbl 0635.51013 Graphs Comb. 4, No. 1, 31-42 (1988). Reviewer: R.Schneider MSC: 51K99 05B20 52Bxx PDFBibTeX XMLCite \textit{M. Deza} and \textit{N. M. Singhi}, Graphs Comb. 4, No. 1, 31--42 (1988; Zbl 0635.51013) Full Text: DOI
Terwilliger, Paul; Deza, Michel The classification of finite connected hypermetric spaces. (English) Zbl 0618.05043 Graphs Comb. 3, 293-298 (1987). MSC: 05C99 05C38 PDFBibTeX XMLCite \textit{P. Terwilliger} and \textit{M. Deza}, Graphs Comb. 3, 293--298 (1987; Zbl 0618.05043) Full Text: DOI
Deza, M.; Frankl, P. Bounds on the maximum number of vectors with given scalar products. (English) Zbl 0643.05041 Proc. Am. Math. Soc. 95, 323-329 (1985). MSC: 05C35 51M05 51E99 51K99 PDFBibTeX XMLCite \textit{M. Deza} and \textit{P. Frankl}, Proc. Am. Math. Soc. 95, 323--329 (1985; Zbl 0643.05041) Full Text: DOI
Deza, M.; Rosenberg, I. G. Intersection and distance patterns. (English) Zbl 0518.05019 Util. Math. 25, 191-214 (1984). MSC: 05B20 05A05 90C10 05-02 PDFBibTeX XMLCite \textit{M. Deza} and \textit{I. G. Rosenberg}, Util. Math. 25, 191--214 (1984; Zbl 0518.05019)
Deza, M.; Frankl, P. On t-distance sets of (0,+-1)-vectors. (English) Zbl 0517.05024 Geom. Dedicata 14, 293-301 (1983). MSC: 05B99 05A15 PDFBibTeX XMLCite \textit{M. Deza} and \textit{P. Frankl}, Geom. Dedicata 14, 293--301 (1983; Zbl 0517.05024) Full Text: DOI
Assouad, Patrice; Deza, Michel Metric subspaces of \(L^ 1\). (English) Zbl 0478.05021 Publ. Math. Orsay 82.03, 47 p. (1982). MSC: 05B30 52A05 51K05 05A20 PDFBibTeX XML
Deza, M. Maximal permutation anticodes. (English) Zbl 0426.05021 Proc. 10th southeast. Conf. Combinatorics, graph theory and computing, Boca Raton 1979, Vol. I, Congr. Numerantium 23, 381-392 (1979). MSC: 05B30 05A05 PDFBibTeX XML
Cohen, G.; Deza, M. Distances invariantes et L-cliques sur certains demi-groupes finis. (French) Zbl 0418.94016 Math. Sci. Hum. 67, 49-69 (1979). MSC: 94B60 94B05 05C99 54H13 54E35 PDFBibTeX XMLCite \textit{G. Cohen} and \textit{M. Deza}, Math. Sci. Hum. 67, 49--69 (1979; Zbl 0418.94016) Full Text: Numdam EuDML