참고문헌
- A. A. Ali, The basis number of the direct product of paths and cycles, Ars Combin., 27(1989), 155-163.
- A. A. Ali and G. T. Marougi, The basis number of the cartesian product of some graphs, The J. of the Indian Math. Soc., 58(1992), 123-134.
- A. A. Ali and G. T. Marougi, The basis number of the cartesian product of some special graphs, Mu'tah Lil-Buhooth Wa Al-Dirasat, 8(2)(1993), 83-100.
- A. S. Alsardary and J. Wojciechowski, The basis number of the powers of the complete graph, Discrete Math., 188(1-3)(1998), 13-25. https://doi.org/10.1016/S0012-365X(97)00271-9
- M. Y. Alzoubi and M. M. M. Jaradat, The basis number of the composition of theta graph with stars and wheels, Acta Math. Hungar., 103(3)(2004), 201-209.
- J. A. Banks and E. F. Schmeichel, The basis number of n-cube, J. Combin. Theory Ser., B 33(2)(1982), 95-100.
- J. A. Bondy and U. S. R. Murty, Graph theory with applications, America Elsevier Publishing Co. Inc., New York, 1976.
- R. Diestel, Graph theory, Graduate Texts in Mathematics, 173, Springer-Verlage, New York, 1997.
- M. Q. Hailat and M. Y. Alzoubi, The basis number of the composition of graphs, Istanbul Univ. Fen Fak. Mat. Der., 53(1994), 43-60.
- F. Harary, Graph theory, Addison-Wesley Publishing Co., Reading, Massachusetts, 1971.
- W. Imrich and S. Klavzar, Product graphs: Structure and recognition, Wiley- Interscience Series in Discrete Mathematics and Optimization, 2000.
- M. M. M. Jaradat, On the basis number of the direct product of graphs, Australas. J. Combin., 27(2003), 293-306.
- M. M. M. Jaradat, The basis number of the direct product of a theta graph and a path, Ars combin., 75(2005), 105-111.
- M. M. M. Jaradat and M. Y. Alzoubi, On the basis number of the semi-strong product of bipartite graphs with cycles, Kyungpook Math. J., 45(1)(2005), 45-53.
- M. M. M. Jaradat and M. Y. Alzoubi, An upper bound of the basis number of the lexicographic product of graphs, Australas. J. Combin., 32(2005), 305-312.
- M. M. M. Jaradat, The basis number of the strong product of paths and cycles with bipartite graphs, Missouri Journal of Mathematical Sciences (accepted).
- S. MacLane, A combinatorial condition for planar graphs, Fundameta Math., 28(1937), 22-32.
- E.F. Schmeichel, The basis number of a graph, J. Combin. Theory ser., B 30(2)(1981), 123-129.