@article{oai:kindai.repo.nii.ac.jp:00009598, author = {潮, 和彦}, issue = {46}, journal = {近畿大学理工学部研究報告, Journal of the Faculty of Science and Engineering, Kinki University}, month = {Sep}, note = {In graph theory, the decomposition problem of graphs is a very important topic. Various type of decompositions of many graphs can be seen in the literature of gaph theory. Let k , t and n be positive integers (k ≧ 3, t ≧ 2). It is shown that the necessary and sufficient condition for the existence of a balanced C_k-t-foil decomposition of the complete graph K_n is n≡1 (mod 2kt) for k = 11, 13, 15, 17, 19, 21, 23, 25. These decompositions are to be known as balanced C_k-foil designs., application/pdf}, pages = {7--16}, title = {Balanced C_k-Foil Designs}, year = {2010}, yomi = {ウシオ, カズヒコ} }