JAEM 2019, Vol 9, No 3JAEM 2019, Vol 9, No 3 koleksiyonunu içerir.https://hdl.handle.net/11729/24072024-03-28T14:33:59Z2024-03-28T14:33:59ZOn star chromatic number of prism graph familiesKowsalya, VenkatesanVivin, Joseph VernoldKumar, S. Vimalhttps://hdl.handle.net/11729/27602021-07-02T13:05:45Z2019-01-01T00:00:00ZOn star chromatic number of prism graph families
Kowsalya, Venkatesan; Vivin, Joseph Vernold; Kumar, S. Vimal
In this paper, we find the star chromatic number χs for the central graph of prism graph C(Yn), line graph of prism graph L(Yn), middle graph of prism graph M(Yn) and the total graph of prism graph T(Yn) for all n ≥ 3.
2019-01-01T00:00:00ZGlobal color class domination partition of a graphSwaminathan, VenkatasubramanianPraba, Venkatrenganhttps://hdl.handle.net/11729/27592021-07-02T13:07:04Z2019-01-01T00:00:00ZGlobal color class domination partition of a graph
Swaminathan, Venkatasubramanian; Praba, Venkatrengan
Color class domination partition was suggested by E. Sampathkumar and it was studied in [1]. A proper color partition of a finite, simple graph G is called a color class domination partition (or cd-partition) if every color class is dominated by a vertex. This concept is different from dominator color partition introduced in [[2], [3]] where every vertex dominates a color class. Suppose G has no full degree vertex (that is, a vertex which is adjacent with every other vertex of the graph). Then a color class may be independent from a vertex outside the class. This leads to Global Color Class Domination Partition. A proper color partition of G is called a Global Color Class Domination Partition if every color class is dominated by a vertex and each color class is independent of a vertex outside the class. The minimum cardinality of a Global Color Class Domination Partition is called the Global Color Class Domination Partition Number of G and is denoted by Xgcd(G). In this paper a study of this new parameter is initiated and its relationships with other parameters are investigated.
2019-01-01T00:00:00ZSK indices, forgotten topological indices and Hyper Zagreb index of Q operator of carbon nanoconeLokesha, VeerebradiahYasmeen, K. Zebahttps://hdl.handle.net/11729/27582021-07-02T13:09:32Z2019-01-01T00:00:00ZSK indices, forgotten topological indices and Hyper Zagreb index of Q operator of carbon nanocone
Lokesha, Veerebradiah; Yasmeen, K. Zeba
Carbon nanocones are conical structures made from carbon and they have one dimension of order one micrometer. The physical features of these structures can be easily understood by exploiting topological indices. In this article we established SK, F, S and Hyper Zagreb index of carbon nanocones using Q(G) operator.
Second author is thankful to University Grant Commission UGC, New Delhi for providing Maulana Azad National Fellowship (F ileNo : F1−17.1/2017−18/MANF −2017−18−KAR−77292) to carry out the present research work.
2019-01-01T00:00:00ZExistence of nonoscillatory solutions of second-order neutral differential equationsCandan, TuncayŞenel, Mehmet Tamerhttps://hdl.handle.net/11729/27572021-07-02T13:10:55Z2019-01-01T00:00:00ZExistence of nonoscillatory solutions of second-order neutral differential equations
Candan, Tuncay; Şenel, Mehmet Tamer
We obtain some sufficient conditions for the existence of nonoscillatory solutions of nonlinear second order neutral differential equation with forcing term. Our results improve and extend some existing results. Examples are also included to illustrate our results.
2019-01-01T00:00:00Z