Wang Wei-fan[1] proved that the edge-face chromatic number of a 2-connected 1-tree with the maximum degree is not less than 6 is its maximum degree, and he conjectured that it is true when the maximum degree is 5. Thi...Wang Wei-fan[1] proved that the edge-face chromatic number of a 2-connected 1-tree with the maximum degree is not less than 6 is its maximum degree, and he conjectured that it is true when the maximum degree is 5. This paper proves the conjecture.展开更多
Let G be a maximal outerplane graph and X0(G) the complete chromatic number of G. This paper determines exactly X0(G) for △(G)≠5 and proves 6≤X0.(G)≤7 for △(G) = 5, where △(G) is the maximum degree of vertices o...Let G be a maximal outerplane graph and X0(G) the complete chromatic number of G. This paper determines exactly X0(G) for △(G)≠5 and proves 6≤X0.(G)≤7 for △(G) = 5, where △(G) is the maximum degree of vertices of G.展开更多
Traditional Turkish house which characterized with its original shape of the room, plan layout, construction and roof forms has two main spaces as ＂sofa＂ （common space） and the ＂room＂ differentiate it from the h...Traditional Turkish house which characterized with its original shape of the room, plan layout, construction and roof forms has two main spaces as ＂sofa＂ （common space） and the ＂room＂ differentiate it from the houses in different geographies. The flexibility of the room in traditional Turkish house is characterized with its fixed-in-furniture, which supplies all necessities of a person in a house. This paper will discuss the similarities and differences in use of space between traditional Turkish houses and today＇s flats in apartments. The comprehensions will be made through the field works on traditional houses and with the projects of architecture students in Mimar Sinan Fine Arts University, Istanhul. The concept of the students＇ projects is redesigning their own houses. Since the students come from different regions of Turkey, their houses have both similar and different spatial characteristics. Whether the cultural identity of the user plays a role in use of living space will be discussed. The aim of this study is to put the relation between the past and today＇s use of interior spaces of Turkish houses.展开更多
Plane quartics containing the ten vertices of a complete pentalateral and limits of them are called Lüroth quartics.The locus of singular Lüroth quartics has two irreducible components,both of codimension tw...Plane quartics containing the ten vertices of a complete pentalateral and limits of them are called Lüroth quartics.The locus of singular Lüroth quartics has two irreducible components,both of codimension two in P14.We compute the degree of them and discuss the consequences of this computation on the explicit form of the Lüroth invariant.One important tool is the Cremona hexahedral equations of the cubic surface.We also compute the class in M 3 of the closure of the locus of nonsingular Lüroth quartics.展开更多
文摘Wang Wei-fan[1] proved that the edge-face chromatic number of a 2-connected 1-tree with the maximum degree is not less than 6 is its maximum degree, and he conjectured that it is true when the maximum degree is 5. This paper proves the conjecture.
基金Project supported by the Vatural SCience Foundation of LNEC.
文摘Let G be a maximal outerplane graph and X0(G) the complete chromatic number of G. This paper determines exactly X0(G) for △(G)≠5 and proves 6≤X0.(G)≤7 for △(G) = 5, where △(G) is the maximum degree of vertices of G.
文摘Traditional Turkish house which characterized with its original shape of the room, plan layout, construction and roof forms has two main spaces as ＂sofa＂ （common space） and the ＂room＂ differentiate it from the houses in different geographies. The flexibility of the room in traditional Turkish house is characterized with its fixed-in-furniture, which supplies all necessities of a person in a house. This paper will discuss the similarities and differences in use of space between traditional Turkish houses and today＇s flats in apartments. The comprehensions will be made through the field works on traditional houses and with the projects of architecture students in Mimar Sinan Fine Arts University, Istanhul. The concept of the students＇ projects is redesigning their own houses. Since the students come from different regions of Turkey, their houses have both similar and different spatial characteristics. Whether the cultural identity of the user plays a role in use of living space will be discussed. The aim of this study is to put the relation between the past and today＇s use of interior spaces of Turkish houses.
文摘Plane quartics containing the ten vertices of a complete pentalateral and limits of them are called Lüroth quartics.The locus of singular Lüroth quartics has two irreducible components,both of codimension two in P14.We compute the degree of them and discuss the consequences of this computation on the explicit form of the Lüroth invariant.One important tool is the Cremona hexahedral equations of the cubic surface.We also compute the class in M 3 of the closure of the locus of nonsingular Lüroth quartics.
