Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, On conformally flat critical Riemannian metrics for a curvature functional, M Katagiri, The normalized L-2-norm of the traceless part of the Ricci curvature defines a Riemannian functional on the space of Riemannian metrics. In this paper, we will consider the critical Riemannian metrics with a flat conformal structure for this functional., Feb. 2005, 81, 2, 27, 29, Scientific journal
Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, On critical Riemannian metrics for a curvature functional on 3-manifolds, M Katagiri, The normalized L-2-norm of the traceless part of the Ricci curvature defines a Riemannian functional on the space of metrics. In this paper, we will consider this functional on 3-manifolds., Apr. 2002, 78, 4, 43, 45, Scientific journal
Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, On the topology of the moduli space of negative constant scalar curvature metrics on a Haken manifold, M Katagiri, Sep. 1999, 75, 7, 126, 128, Scientific journal
Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, On compact conformally flat Einstein-Weyl manifolds, M Katagiri, Jun. 1998, 74, 6, 104, 105, Scientific journal
Refereed, Tokyo Journal of Mathematics, On the uniqueness of a Weyl Structure with Prescribed Ricci Curvature, Minyo Katagiri, 1998, 21, 2, 453, 455, Scientific journal, 10.3836/tjm/1270041825
Refereed, Tokyo Journal of Mathematics, On deformations of Einstein-Weyl structures, Minyo Katagiri, 1998, 21, 2, 457, 461, Scientific journal, 10.3836/tjm/1270041826
Refereed, Functional Analysis and Global Analysis, Estimate of singularities of the Yang-Mills gradient flow, Minyo Katagiri, 1997, 162
Refereed, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, MATH SOC JAPAN, ON THE EXISTENCE OF YANG-MILLS CONNECTIONS BY CONFORMAL CHANGES IN HIGHER DIMENSIONS, M KATAGIRI, Jan. 1994, 46, 1, 139, 147, Scientific journal
Refereed, Annual report of Graduate School of Humanities and Sciences Nara Women's University, A categorification for the dichromatic polynomial of graphs, Minyo Katagiri, Mar. 2022, 37, 37, 111, 118, Research institution
Refereed, Annual Reports of Graduate of Humanities and Sciences, On the group of the dichromatic cohomology of graphs, Minyo Katagiri, Mar. 2024, 39, 1, 15, 23, Research institution
Refereed, Annual Reports of Graduate School of humanities and Sciences, A decomposition of the space of Riemannian metrics and Riemannian functionals, Minyo Katagiri, Mar. 2020, 35, 113, 120
Refereed, Annual Report of Graduate School of Humanities and Sciences Nara Women's University, A categorification for the flow polynomial of graphs, Minyo Katagiri, Mar. 2018, 33, 113-121
Refereed, Annual Report of Graduate School of Humanities and Sciences Nara Women's University, 奈良女子大学大学院人間文化研究科, Upper bounds for the Roman bondage number of graphs on closed surfaces, KATAGIRI Minyo, Let G be a simple graph, and its vertex sets is denoted by V (G). A set D V (G)is the dominating set if every vertex not in D is adjacent to at least one vertex in D.The minimum cadinality of a dominatin set of G is the dominationg number (G).Clearly, for any spanning subgraph H of G, (H) (G). The bondage numberof G, denoted by b(G), is the minimum cardinality of a set of edges B E(G)such that (G − B) > (G), where G − B is the graph with V (G − B) = V (G)and E(G − B) = E(G) \ B.A function f : V (G) {0, 1, 2} is a Roman dominating function if every vertexv for which f(v) = 0 is adjacent to at least one vertex u for which f(u) = 2. Theweight of a Roman dominating function is the value v V (G) f(v). The Romandomination number of a graph G, denoted by R(G), is the minimum weight of aRoman dominating function of G. The Roman bondage number bR(G) of a graph Gis the cardinality of a smallest set of edges B E(G) for which R(G−B) > R(G),where V (G − B) = V (G) and E(G − B) = E(G) \ B.In this paper, for a graph G on a closed surface M, we get an upper bound forthe Roman bondage number bR(G) of G by Euler characteristic (M) of M., Mar. 2017, 32, 32, 119,124, 124