@inproceedings{274f29d266b04e499476c14ed4f808d8,

title = "An α -cut chromatic number of a total uncertain graph and its properties",

abstract = "A graph is called an edge uncertain graph if the edges are not deterministic but exist with some belief degrees described by uncertain measure. A new definition for total uncertain graph is first introduced in this paper, that is an uncertain graph in which the vertices and the edges are not deterministic. Further, we give a concept of an α-cut of a total uncertain graph and investigate some of its properties. We color a total uncertain graph via the α-cut, and obtain α-cut chromatic numbers for all α ∈ [0, 1]. Some properties of the α-cut chromatic number are also verified.",

keywords = "Edge uncertain graph, total uncertain graph, α-cut, α-cut chromatic number",

author = "Isnaini Rosyida and Widodo and Indrati, {Ch Rini} and Kiki Ariyanti",

note = "Publisher Copyright: {\textcopyright} 2016 AIP Publishing LLC.; 7th SEAMS UGM International Conference on Mathematics and Its Applications: Enhancing the Role of Mathematics in Interdisciplinary Research ; Conference date: 18-08-2015 Through 21-08-2015",

year = "2016",

month = feb,

day = "11",

doi = "10.1063/1.4940819",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Yeni Susanti and Wijayanti, {Indah Emilia} and Kusumo, {Fajar Adi} and Aluicius, {Irwan Endrayanto}",

booktitle = "Proceedings of the 7th SEAMS UGM International Conference on Mathematics and Its Applications 2015",

}