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Abdul Khayyoom, Mohammed, Sudhahar, P.Arul Paul. (1402). The open monophonic chromatic number of a graph. سامانه مدیریت نشریات علمی, 11(2), 225-235. doi: 10.22098/jhs.2023.2575
Mohammed Abdul Khayyoom; P.Arul Paul Sudhahar. "The open monophonic chromatic number of a graph". سامانه مدیریت نشریات علمی, 11, 2, 1402, 225-235. doi: 10.22098/jhs.2023.2575
Abdul Khayyoom, Mohammed, Sudhahar, P.Arul Paul. (1402). 'The open monophonic chromatic number of a graph', سامانه مدیریت نشریات علمی, 11(2), pp. 225-235. doi: 10.22098/jhs.2023.2575
Abdul Khayyoom, Mohammed, Sudhahar, P.Arul Paul. The open monophonic chromatic number of a graph. سامانه مدیریت نشریات علمی, 1402; 11(2): 225-235. doi: 10.22098/jhs.2023.2575

The open monophonic chromatic number of a graph

Journal of Hyperstructures
دوره 11، شماره 2، اسفند 2022، صفحه 225-235    اصل مقاله (322.37 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2023.2575
نویسندگان
Mohammed Abdul Khayyoom* 1؛ P.Arul Paul Sudhahar2
1Department of Mathematics, PTM Govt. College, Perinthalmanna P.O.679322 Malappuram, Kerala, India
2Department of Mathematics, Rani Anna Govt.College(W) Tirunalveli-627 008, Tamilnadu, India.
چکیده
A set P of vertices in a connected graph G is called open monophonic chromatic set if P is both an open monophonic set and a chromatic set. The minimum cardinality among the set of all open monophonic chromatic sets is called open monophonic chromatic number and is denoted by χom(G). Here properties of open monophonic chromatic number of connected graphs are studied. Open monophonic chromatic number of some standard graphs are identified. For 3≤ m ≤n, there is a connected graph G such that χ(G)= m and χom(G)=n. For 3≤ m ≤n, there is a connected graph Gsuch that om(G)=m and χ(G)= χom(G)=n. Let r, d be two integers such that r< d ≤ 2r and suppose k≥ 2. Then there exists a connected graph G with rad(G) = r, diam(G) = d and χom(G)=k.
کلیدواژه‌ها
Chromatic set؛ Chromatic number؛ Open Monophonic number؛ Open Monophonic chromatic number
مراجع
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