Eğecioğlu, Ömer; Klavžar, Sandi; Mollard, Michel Fibonacci cubes with applications and variations. (English) Zbl 07662184 Singapore: World Scientific (ISBN 978-981-12-6903-5/hbk; 978-981-126-916-5/ebook). (2023). MSC: 05-01 05Cxx 11B39 PDFBibTeX XML Full Text: DOI
Mollard, Michel A relation between Wiener index and Mostar index for daisy cubes. (English) Zbl 1513.05106 DML, Discrete Math. Lett. 10, 81-84 (2022). MSC: 05C09 05C12 05C92 92E10 PDFBibTeX XMLCite \textit{M. Mollard}, DML, Discrete Math. Lett. 10, 81--84 (2022; Zbl 1513.05106) Full Text: DOI arXiv
Mollard, Michel The (non-)existence of perfect codes in Lucas cubes. (English) Zbl 1502.94050 Ars Math. Contemp. 22, No. 3, Paper No. 10, 7 p. (2022). MSC: 94B25 05C69 PDFBibTeX XMLCite \textit{M. Mollard}, Ars Math. Contemp. 22, No. 3, Paper No. 10, 7 p. (2022; Zbl 1502.94050) Full Text: DOI arXiv
Mollard, Michel Edges in Fibonacci cubes, Lucas cubes and complements. (English) Zbl 1476.05183 Bull. Malays. Math. Sci. Soc. (2) 44, No. 6, 4425-4437 (2021). MSC: 05C82 05C07 05C35 05C85 PDFBibTeX XMLCite \textit{M. Mollard}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 6, 4425--4437 (2021; Zbl 1476.05183) Full Text: DOI arXiv
Klavžar, Sandi; Mollard, Michel Daisy cubes and distance cube polynomial. (English) Zbl 1415.05121 Eur. J. Comb. 80, 214-223 (2019). MSC: 05C60 PDFBibTeX XMLCite \textit{S. Klavžar} and \textit{M. Mollard}, Eur. J. Comb. 80, 214--223 (2019; Zbl 1415.05121) Full Text: DOI arXiv
Mollard, Michel The existence of perfect codes in a family of generalized Fibonacci cubes. (English) Zbl 1437.94096 Inf. Process. Lett. 140, 1-3 (2018). MSC: 94B25 05C69 PDFBibTeX XMLCite \textit{M. Mollard}, Inf. Process. Lett. 140, 1--3 (2018; Zbl 1437.94096) Full Text: DOI HAL
Mollard, Michel Non covered vertices in Fibonacci cubes by a maximum set of disjoint hypercubes. (English) Zbl 1354.05088 Discrete Appl. Math. 219, 219-221 (2017). MSC: 05C60 11B39 PDFBibTeX XMLCite \textit{M. Mollard}, Discrete Appl. Math. 219, 219--221 (2017; Zbl 1354.05088) Full Text: DOI arXiv
Gravier, Sylvain; Mollard, Michel; Špacapan, Simon; Zemljič, Sara Sabrina On disjoint hypercubes in Fibonacci cubes. (English) Zbl 1316.05090 Discrete Appl. Math. 190-191, 50-55 (2015). MSC: 05C65 11B39 PDFBibTeX XMLCite \textit{S. Gravier} et al., Discrete Appl. Math. 190--191, 50--55 (2015; Zbl 1316.05090) Full Text: DOI arXiv
Mollard, Michel; Ramras, Mark Edge decompositions of hypercubes by paths and by cycles. (English) Zbl 1312.05075 Graphs Comb. 31, No. 3, 729-741 (2015). MSC: 05C45 05C38 05C70 PDFBibTeX XMLCite \textit{M. Mollard} and \textit{M. Ramras}, Graphs Comb. 31, No. 3, 729--741 (2015; Zbl 1312.05075) Full Text: DOI arXiv
Klavžar, Sandi; Mollard, Michel Asymptotic properties of Fibonacci cubes and Lucas cubes. (English) Zbl 1295.05099 Ann. Comb. 18, No. 3, 447-457 (2014). MSC: 05C12 40A05 05A15 PDFBibTeX XMLCite \textit{S. Klavžar} and \textit{M. Mollard}, Ann. Comb. 18, No. 3, 447--457 (2014; Zbl 1295.05099) Full Text: DOI arXiv
Mollard, Michel On the domination of Cartesian product of directed cycles: results for certain equivalence classes of lengths. (English) Zbl 1293.05271 Discuss. Math., Graph Theory 33, No. 2, 387-394 (2013). MSC: 05C69 05C38 05C76 05C20 PDFBibTeX XMLCite \textit{M. Mollard}, Discuss. Math., Graph Theory 33, No. 2, 387--394 (2013; Zbl 1293.05271) Full Text: DOI
Gravier, Sylvain; Kovše, Matjaž; Mollard, Michel; Moncel, Julien; Parreau, Aline New results on variants of covering codes in Sierpiński graphs. (English) Zbl 1269.05095 Des. Codes Cryptography 69, No. 2, 181-188 (2013). MSC: 05C78 94B25 05C69 PDFBibTeX XMLCite \textit{S. Gravier} et al., Des. Codes Cryptography 69, No. 2, 181--188 (2013; Zbl 1269.05095) Full Text: DOI arXiv
Mollard, Michel Maximal hypercubes in Fibonacci and Lucas cubes. (English) Zbl 1252.05155 Discrete Appl. Math. 160, No. 16-17, 2479-2483 (2012). MSC: 05C65 05C35 11B39 05C30 PDFBibTeX XMLCite \textit{M. Mollard}, Discrete Appl. Math. 160, No. 16--17, 2479--2483 (2012; Zbl 1252.05155) Full Text: DOI arXiv
Castro, Aline; Mollard, Michel The eccentricity sequences of Fibonacci and Lucas cubes. (English) Zbl 1237.05055 Discrete Math. 312, No. 5, 1025-1037 (2012). MSC: 05C12 05C65 11B39 PDFBibTeX XMLCite \textit{A. Castro} and \textit{M. Mollard}, Discrete Math. 312, No. 5, 1025--1037 (2012; Zbl 1237.05055) Full Text: DOI
Klavžar, Sandi; Mollard, Michel Cube polynomial of Fibonacci and Lucas cubes. (English) Zbl 1235.05071 Acta Appl. Math. 117, No. 1, 93-105 (2012). MSC: 05C31 05A15 05C65 26C10 PDFBibTeX XMLCite \textit{S. Klavžar} and \textit{M. Mollard}, Acta Appl. Math. 117, No. 1, 93--105 (2012; Zbl 1235.05071) Full Text: DOI
Mollard, Michel On vertex partitions of hypercubes by isometric trees. (English) Zbl 1235.94067 SIAM J. Discrete Math. 25, No. 2, 534-538 (2011). MSC: 94B25 05C38 05C70 PDFBibTeX XMLCite \textit{M. Mollard}, SIAM J. Discrete Math. 25, No. 2, 534--538 (2011; Zbl 1235.94067) Full Text: DOI HAL
Castro, Aline; Klavžar, Sandi; Mollard, Michel; Rho, Yoomi On the domination number and the 2-packing number of Fibonacci cubes and Lucas cubes. (English) Zbl 1221.05257 Comput. Math. Appl. 61, No. 9, 2655-2660 (2011). MSC: 05C69 11B39 PDFBibTeX XMLCite \textit{A. Castro} et al., Comput. Math. Appl. 61, No. 9, 2655--2660 (2011; Zbl 1221.05257) Full Text: DOI
Klavžar, Sandi; Mollard, Michel; Petkovšek, Marko The degree sequence of Fibonacci and Lucas cubes. (English) Zbl 1225.05132 Discrete Math. 311, No. 14, 1310-1322 (2011). MSC: 05C30 05A15 05C07 PDFBibTeX XMLCite \textit{S. Klavžar} et al., Discrete Math. 311, No. 14, 1310--1322 (2011; Zbl 1225.05132) Full Text: DOI HAL
Mollard, Michel On perfect codes in Cartesian products of graphs. (English) Zbl 1209.05207 Eur. J. Comb. 32, No. 3, 398-403 (2011). MSC: 05C76 05C90 05C69 05C15 PDFBibTeX XMLCite \textit{M. Mollard}, Eur. J. Comb. 32, No. 3, 398--403 (2011; Zbl 1209.05207) Full Text: DOI
Beaudou, Laurent; Gravier, Sylvain; Klavžar, Sandi; Kovše, Matjaž; Mollard, Michel Covering codes in Sierpiński graphs. (English) Zbl 1280.05130 Discrete Math. Theor. Comput. Sci. 12, No. 3, 63-74 (2010). MSC: 05C90 05C69 94B25 PDFBibTeX XMLCite \textit{L. Beaudou} et al., Discrete Math. Theor. Comput. Sci. 12, No. 3, 63--74 (2010; Zbl 1280.05130) Full Text: Link
Dorbec, P.; Gravier, S.; Honkala, I.; Mollard, M. Weighted perfect codes in Lee metric. (English) Zbl 1273.05034 Nešetřil, Jaroslav (ed.) et al., Extended abstracts of the 5th European conference on combinatorics, graph theory and applications, EuroComb’09, Bordeaux, France, September 7–11, 2009. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 34, 477-481 (2009). MSC: 05B40 52C17 94B25 PDFBibTeX XMLCite \textit{P. Dorbec} et al., Electron. Notes Discrete Math. 34, 477--481 (2009; Zbl 1273.05034) Full Text: DOI
Dorbec, Paul; Gravier, Sylvain; Honkala, Iiro; Mollard, Michel Weighted codes in Lee metrics. (English) Zbl 1196.05031 Des. Codes Cryptography 52, No. 2, 209-218 (2009). Reviewer: Patric R. J. Östergård (Helsinki) MSC: 05C15 05C63 52C17 94B25 PDFBibTeX XMLCite \textit{P. Dorbec} et al., Des. Codes Cryptography 52, No. 2, 209--218 (2009; Zbl 1196.05031) Full Text: DOI
Dorbec, Paul; Mollard, Michel; Klavžar, Sandi; Špacapan, Simon Power domination in product graphs. (English) Zbl 1171.05037 SIAM J. Discrete Math. 22, No. 2, 554-567 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{P. Dorbec} et al., SIAM J. Discrete Math. 22, No. 2, 554--567 (2008; Zbl 1171.05037) Full Text: DOI
Brešar, Boštjan; Dorbec, Paul; Klavžar, Sandi; Mollard, Michel Hamming polynomials and their partial derivatives. (English) Zbl 1121.05115 Eur. J. Comb. 28, No. 4, 1156-1162 (2007). Reviewer: Frank Plastria (Brussels) MSC: 05C99 05A19 PDFBibTeX XMLCite \textit{B. Brešar} et al., Eur. J. Comb. 28, No. 4, 1156--1162 (2007; Zbl 1121.05115) Full Text: DOI
Charon, Irène; Gravier, Sylvain; Hudry, Olivier; Lobstein, Antoine; Mollard, Michel; Moncel, Julien A linear algorithm for minimum 1-identifying codes in oriented trees. (English) Zbl 1103.68130 Discrete Appl. Math. 154, No. 8, 1246-1253 (2006). MSC: 68W05 05C05 68R10 68P30 PDFBibTeX XMLCite \textit{I. Charon} et al., Discrete Appl. Math. 154, No. 8, 1246--1253 (2006; Zbl 1103.68130) Full Text: DOI
Dorbec, Paul; Mollard, Michel Perfect codes in Cartesian products of hypercube and multidimensional grid. (English) Zbl 1200.94056 Raspaud, André (ed.) et al., 7th international colloquium on graph theory, Hyeres, France, September 12–16, 2005. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 22, 327-331 (2005). MSC: 94B25 05C76 PDFBibTeX XMLCite \textit{P. Dorbec} and \textit{M. Mollard}, Electron. Notes Discrete Math. 22, 327--331 (2005; Zbl 1200.94056) Full Text: DOI
Gravier, Sylvain; Klavžar, Sandi; Mollard, Michel Codes and \(L(2,1)\)-labelings in Sierpiński graphs. (English) Zbl 1093.05059 Taiwanese J. Math. 9, No. 4, 671-681 (2005). Reviewer: Adrian Riskin (Staunton) MSC: 05C78 94B25 05C69 PDFBibTeX XMLCite \textit{S. Gravier} et al., Taiwanese J. Math. 9, No. 4, 671--681 (2005; Zbl 1093.05059) Full Text: DOI
Dorbec, Paul; Mollard, Michel Perfect codes in Cartesian products of 2-paths and infinite paths. (English) Zbl 1081.05091 Electron. J. Comb. 12, No. 1, Research paper R65, 9 p. (2005). Reviewer: Steven T. Dougherty (Scranton) MSC: 05C70 94B60 05C69 PDFBibTeX XMLCite \textit{P. Dorbec} and \textit{M. Mollard}, Electron. J. Comb. 12, No. 1, Research paper R65, 9 p. (2005; Zbl 1081.05091) Full Text: EuDML EMIS
Kobeissi, Mohamed; Mollard, Michel Disjoint cycles and spanning graphs of hypercubes. (English) Zbl 1057.05049 Discrete Math. 288, No. 1-3, 73-87 (2004). MSC: 05C38 05C45 05C70 PDFBibTeX XMLCite \textit{M. Kobeissi} and \textit{M. Mollard}, Discrete Math. 288, No. 1--3, 73--87 (2004; Zbl 1057.05049) Full Text: DOI
Gravier, Sylvain; Klavžar, Sandi; Mollard, Michel Isometric embeddings of subdivided wheels in hypercubes. (English) Zbl 1021.05027 Discrete Math. 269, No. 1-3, 287-293 (2003). Reviewer: Stanislav Jendrol’ (Košice) MSC: 05C10 PDFBibTeX XMLCite \textit{S. Gravier} et al., Discrete Math. 269, No. 1--3, 287--293 (2003; Zbl 1021.05027) Full Text: DOI
Dvořák, Tomáš; Havel, Ivan; Mollard, Michel On paths and cycles dominating hypercubes. (English) Zbl 1012.05122 Discrete Math. 262, No. 1-3, 121-129 (2003). Reviewer: Dieter Rautenbach (Aachen) MSC: 05C69 PDFBibTeX XMLCite \textit{T. Dvořák} et al., Discrete Math. 262, No. 1--3, 121--129 (2003; Zbl 1012.05122) Full Text: DOI
Kobeissi, Mohamed; Mollard, Michel Spanning graphs of hypercubes: Starlike and double starlike trees. (English) Zbl 0992.05032 Discrete Math. 244, No. 1-3, 231-239 (2002). MSC: 05C05 05C38 05C75 PDFBibTeX XMLCite \textit{M. Kobeissi} and \textit{M. Mollard}, Discrete Math. 244, No. 1--3, 231--239 (2002; Zbl 0992.05032) Full Text: DOI
Kobeissi, M.; Mollard, M. A counter-example to a lemma about embedding starlike trees into hypercube. (English) Zbl 0982.05035 Comput. Math. Appl. 41, No. 5-6, 669-670 (2001). Reviewer: M.Škoviera (Bratislava) MSC: 05C05 05C10 PDFBibTeX XMLCite \textit{M. Kobeissi} and \textit{M. Mollard}, Comput. Math. Appl. 41, No. 5--6, 669--670 (2001; Zbl 0982.05035) Full Text: DOI
Gravier, Sylvain; Mollard, Michel; Payan, Charles On the nonexistence of three-dimensional tiling in the Lee metric. II. (English) Zbl 0991.52004 Discrete Math. 235, No. 1-3, 151-157 (2001). MSC: 52C22 05B45 05B50 PDFBibTeX XMLCite \textit{S. Gravier} et al., Discrete Math. 235, No. 1--3, 151--157 (2001; Zbl 0991.52004) Full Text: DOI
Berrachedi, A.; Mollard, M. Median graphs and hypercubes, some new characterizations. (English) Zbl 0933.05133 Discrete Math. 208-209, 71-75 (1999). MSC: 05C75 PDFBibTeX XMLCite \textit{A. Berrachedi} and \textit{M. Mollard}, Discrete Math. 208--209, 71--75 (1999; Zbl 0933.05133) Full Text: DOI
Berrachedi, Abdelhafid; Mollard, Michel On two problems about (0, 2)-graphs and interval-regular graphs. (English) Zbl 0963.05043 Ars Comb. 49, 303-309 (1998). Reviewer: Bohdan Zelinka (Liberec) MSC: 05C12 05C38 PDFBibTeX XMLCite \textit{A. Berrachedi} and \textit{M. Mollard}, Ars Comb. 49, 303--309 (1998; Zbl 0963.05043)
Gravier, Sylvain; Mollard, Michel; Payan, Charles On the non-existence of 3-dimensional tiling in the Lee metric. (English) Zbl 0910.52019 Eur. J. Comb. 19, No. 5, 567-572 (1998). Reviewer: P.Schmitt (Wien) MSC: 52C22 05B45 05B50 PDFBibTeX XMLCite \textit{S. Gravier} et al., Eur. J. Comb. 19, No. 5, 567--572 (1998; Zbl 0910.52019) Full Text: DOI
Dvořák, Tomáš; Havel, Ivan; Laborde, Jean-Marie; Mollard, Michel Spanning caterpillars of a hypercube. (English) Zbl 0865.05034 J. Graph Theory 24, No. 1, 9-19 (1997). Reviewer: D.Cieslik (Greifswald) MSC: 05C05 05C38 PDFBibTeX XMLCite \textit{T. Dvořák} et al., J. Graph Theory 24, No. 1, 9--19 (1997; Zbl 0865.05034) Full Text: DOI
Gravier, Sylvain; Mollard, Michel On domination numbers of Cartesian products of paths. (English) Zbl 0898.05040 Discrete Appl. Math. 80, No. 2-3, 247-250 (1997). Reviewer: B.Zelinka (Liberec) MSC: 05C35 05C38 PDFBibTeX XMLCite \textit{S. Gravier} and \textit{M. Mollard}, Discrete Appl. Math. 80, No. 2--3, 247--250 (1997; Zbl 0898.05040) Full Text: DOI Link
Mollard, Michel; Payan, Charles Elegant labelings and edge-colorings. A proof of two conjectures of Hartman and Chang, Hsu, Rogers. (English) Zbl 0793.05104 Ars Comb. 36, 97-106 (1993). MSC: 05C78 05C15 PDFBibTeX XMLCite \textit{M. Mollard} and \textit{C. Payan}, Ars Comb. 36, 97--106 (1993; Zbl 0793.05104)
Mollard, Michel Interval-regularity does not lead to interval monotonicity. (English) Zbl 0784.05040 Discrete Math. 118, No. 1-3, 233-237 (1993). Reviewer: N.F.Quimpo (Manila) MSC: 05C38 PDFBibTeX XMLCite \textit{M. Mollard}, Discrete Math. 118, No. 1--3, 233--237 (1993; Zbl 0784.05040) Full Text: DOI
Mollard, Michel Cycle-regular graphs. (English) Zbl 0726.05044 Discrete Math. 89, No. 1, 29-41 (1991). Reviewer: J.Sedláček (Praha) MSC: 05C38 PDFBibTeX XMLCite \textit{M. Mollard}, Discrete Math. 89, No. 1, 29--41 (1991; Zbl 0726.05044) Full Text: DOI
Mollard, Michel Two characterizations of generalized hypercube. (English) Zbl 0752.05043 Discrete Math. 93, No. 1, 63-74 (1991). Reviewer: H.-J.Presia (Ilmenau) MSC: 05C75 PDFBibTeX XMLCite \textit{M. Mollard}, Discrete Math. 93, No. 1, 63--74 (1991; Zbl 0752.05043) Full Text: DOI
Mollard, Michel; Payan, Charles Some progress in the packing of equal circles in a square. (English) Zbl 0715.52005 Discrete Math. 84, No. 3, 303-307 (1990). Reviewer: H.Martini MSC: 52C15 05B40 PDFBibTeX XMLCite \textit{M. Mollard} and \textit{C. Payan}, Discrete Math. 84, No. 3, 303--307 (1990; Zbl 0715.52005) Full Text: DOI
Mollard, Michel A family of nonregular distance monotone graphs. (English) Zbl 0738.05039 Czech. Math. J. 40(115), No. 3, 539-542 (1990). Reviewer: A.Andreatta (Pavia) MSC: 05C12 PDFBibTeX XMLCite \textit{M. Mollard}, Czech. Math. J. 40(115), No. 3, 539--542 (1990; Zbl 0738.05039) Full Text: EuDML
Mollard, M.; Payan, C. On two conjectures about set-graceful graphs. (English) Zbl 0702.05071 Eur. J. Comb. 10, No. 2, 185-187 (1989). Reviewer: R.Bodendiek MSC: 05C78 PDFBibTeX XMLCite \textit{M. Mollard} and \textit{C. Payan}, Eur. J. Comb. 10, No. 2, 185--187 (1989; Zbl 0702.05071) Full Text: DOI
Mollard, M. Un nouvel encadrement du nombre de cycle Hamiltoniens du n-cube. (New bounds for the number of Hamiltonian cycles of the n-cube). (French) Zbl 0643.05048 Eur. J. Comb. 9, No. 1, 49-52 (1988). Reviewer: M.C.Heydemann MSC: 05C45 05C30 05C38 PDFBibTeX XMLCite \textit{M. Mollard}, Eur. J. Comb. 9, No. 1, 49--52 (1988; Zbl 0643.05048) Full Text: DOI
Mollard, M. A generalized parity function and its use in the construction of perfect codes. (English) Zbl 0585.94015 SIAM J. Algebraic Discrete Methods 7, 113-115 (1986). Reviewer: K.Lindström MSC: 94B25 05B40 PDFBibTeX XMLCite \textit{M. Mollard}, SIAM J. Algebraic Discrete Methods 7, 113--115 (1986; Zbl 0585.94015) Full Text: DOI
Jaeger, François; Khelladi, Abdelkader; Mollard, Michel On shortest cocycle covers of graphs. (English) Zbl 0584.05051 J. Comb. Theory, Ser. B 39, 153-163 (1985). Reviewer: O.R.Oellermann MSC: 05C70 05C38 PDFBibTeX XMLCite \textit{F. Jaeger} et al., J. Comb. Theory, Ser. B 39, 153--163 (1985; Zbl 0584.05051) Full Text: DOI
Mollard, M. Le nombre d’absorption du n-cube. (French) Zbl 0526.05032 Ann. Discrete Math. 17, 469-472 (1983). MSC: 05C35 94B99 PDFBibTeX XMLCite \textit{M. Mollard}, Ann. Discrete Math. 17, 469--472 (1983; Zbl 0526.05032) Full Text: DOI