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1. 混成木グラフとその均衡性

Author

仙石, 正和, Sengoku, Masakazu, 仙石, 正和, and Sengoku, Masakazu

Abstract

In graph theory, a tree or a cotree is an important concept not only for the sake of its applications to many different fields, but also to graph theory itself. A hybrid tree in a linear graph is a generalized concept of a tree and a cotree. And thus, to examine the properties of hybrid trees seems to be of considerable importance. In this paper, a set of hybrid trees in a linear graph is classified according to the number of edges in the element of it, and a hybrid tree graph is defined as a linear graph which represents the relations among the elements of the set of hybrid trees. And it is shown that a hybrid tree graph is balanced. Using this property, the relationships between the above classification of a set of hybrid trees and the structure of the hybrid tree graph are presented. These results are useful in the realization of a hybrid tree graph.

Published
1972

2. 混成木集合の実現について

Author

仙石, 正和, 黒部, 貞一, 小川, 吉彦, Sengoku, Masakazu, Kurobe, Teiichi, Ogawa, Yoshihiko, 仙石, 正和, 黒部, 貞一, 小川, 吉彦, Sengoku, Masakazu, Kurobe, Teiichi, and Ogawa, Yoshihiko

Abstract

回路行列式は回路の特性を示す重要な回路関数である．回路網解析で用いられる節点アドミタンス行列，閉路インピーダンス行列の行列式はそれぞれその回路のグラフに含まれるすべての木の枝アドミタンス積の和，補木の枝インピーダンス積の和として表わされる．このため木集合，補木集合からもとのグラフを求める問題は位相幾何学的合成問題の重要なものの一つである．小文は木，補木の一般化概念としてその両者の性質を有する混成木を定義し混成木集合の基本的性質を調べ，それらを用いて一つの混成木集合からもとのグラフの基本カットセット行列を求める一方法を示した．, An important problem in the topological synthesis is the realization of a set of trees or a set of co-trees. In this paper, a hybrid tree having properties of both a tree and a co-tree is defined. And some properties of the set of hybrid trees of a graph are investigated and a procedure for finding a cut-set matrix of the graph which realizes a given set of hybrid trees is presented. This problem corresponds to that of synthesizing the network when the determinant of the hybrid matrix of a network is given.

Published
1972

12. 頬部に原発したリンパ肉腫の1例

Author

丸山, 修一, 広瀬, 達男, 伊藤, 睦生, 松川, 公敏, 梶川, 幸良, 加藤, 久夫, 常葉, 信雄, 石木, 哲夫, 福島, 祥紘, 新藤, 潤一, Maruyama, Syuichi, Hirose, Tatsuo, Ito, Rikuo, Matsukawa, Kimitoshi, Kajikawa, Yoshinao, Kato, Hisao, Tokiwa, Nobuo, Ishiki, Tetsuo, Fukushima, Masahiro, Shindo, Junichi, 丸山, 修一, 広瀬, 達男, 伊藤, 睦生, 松川, 公敏, 梶川, 幸良, 加藤, 久夫, 常葉, 信雄, 石木, 哲夫, 福島, 祥紘, 新藤, 潤一, Maruyama, Syuichi, Hirose, Tatsuo, Ito, Rikuo, Matsukawa, Kimitoshi, Kajikawa, Yoshinao, Kato, Hisao, Tokiwa, Nobuo, Ishiki, Tetsuo, Fukushima, Masahiro, and Shindo, Junichi

Published
1972