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RISS 인기검색어
- 검색키워드
- 저자 : E. Murugan (검색결과 4 건)
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ON THE DOMINATION NUMBER OF A GRAPH AND ITS SQUARE GRAPH
Murugan, E.,Joseph, J. Paulraj The Kangwon-Kyungki Mathematical Society 2022 한국수학논문집 Vol.30 No.2
For a given graph G = (V, E), a dominating set is a subset V' of the vertex set V so that each vertex in V ＼ V' is adjacent to a vertex in V'. The minimum cardinality of a dominating set of G is called the domination number of G and is denoted by γ(G). For an integer k ≥ 1, the k-th power G<sup>k</sup> of a graph G with V (G<sup>k</sup>) = V (G) for which uv ∈ E(G<sup>k</sup>) if and only if 1 ≤ d<sub>G</sub>(u, v) ≤ k. Note that G<sup>2</sup> is the square graph of a graph G. In this paper, we obtain some tight bounds for the sum of the domination numbers of a graph and its square graph in terms of the order, order and size, and maximum degree of the graph G. Also, we characterize such extremal graphs.
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NORDHAUS-GADDUM TYPE RESULTS FOR CONNECTED DOMINATION NUMBER OF GRAPHS
E. Murugan,J. Paulraj Joseph The Kangwon-Kyungki Mathematical Society 2023 한국수학논문집 Vol.31 No.4
Let G = (V, E) be a graph. A subset S of V is called a dominating set of G if every vertex not in S is adjacent to some vertex in S. The domination number γ(G) of G is the minimum cardinality taken over all dominating sets of G. A dominating set S is called a connected dominating set if the subgraph induced by S is connected. The minimum cardinality taken over all connected dominating sets of G is called the connected domination number of G, and is denoted by γ<sub>c</sub>(G). In this paper, we investigate the Nordhaus-Gaddum type results for the connected domination number and its derived graphs like line graph, subdivision graph, power graph, block graph and total graph, and characterize the extremal graphs.
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An IoT based Green Home Architecture for Green Score Calculation towards Smart Sustainable Cities
( K. Manikanda Kumaran ),( M. Chinnadurai ),( S. Manikandan ),( S. Palani Murugan ),( E. Elakiya ) 한국인터넷정보학회 2021 KSII Transactions on Internet and Information Syst Vol.15 No.7
In the recent modernized world, utilization of natural resources (renewable & non-renewable) is increasing drastically due to the sophisticated life style of the people. The over-consumption of non-renewable resources causes pollution which leads to global warming. Consequently, government agencies have been taking several initiatives to control the over-consumption of non-renewable natural resources and encourage the production of renewable energy resources. In this regard, we introduce an IoT powered integrated framework called as green home architecture (GHA) for green score calculation based on the usage of natural resources for household purpose. Green score is a credit point (i.e.,10 pts) of a family which can be calculated once in a month based on the utilization of energy, production of renewable energy and pollution caused. The green score can be improved by reducing the consumption of energy, generation of renewable energy and preventing the pollution. The main objective of GHA is to monitor the day-to-day usage of resources and calculate the green score using the proposed green score algorithm. This algorithm gives positive credits for economic consumption of resources and production of renewable energy and also it gives negative credits for pollution caused. Here, we recommend a green score based tax calculation system which gives tax exemption based on the green score value. This direct beneficiary model will appreciate and encourage the citizens to consume fewer natural resources and prevent pollution. Rather than simply giving subsidy, this proposed system allows monitoring the subsidy scheme periodically and encourages the proper working system with tax exemption rewards. Also, our GHA will be used to monitor all the household appliances, vehicles, wind mills, electricity meter, water re-treatment plant, pollution level to read the consumption/production in appropriate units by using the suitable sensors. These values will be stored in mass storage platform like cloud for the calculation of green score and also employed for billing purpose by the government agencies. This integrated platform can replace the manual billing and directly benefits the government.
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S.P. Ratnayake,C. Sandaruwan,M.M.M.G.P.G. Mantilaka,N. de Silva,D. Dahanayake,U.K Wanninayake,W.R.L.N. Bandara,S. Santhoshkumar,E. Murugan,G.A.J.Amaratunga,K.M. Nalin de Silva 한국공업화학회 2021 Journal of Industrial and Engineering Chemistry Vol.95 No.-
A unique zirconia nanomorphology possessing an enhanced photocatalytic efficiency was developedutilizing a convenient single-sol synthesis process which involved in-situ doping of zirconia by boron. The boron-doped zirconia exhibited aflake morphology as opposed to the spherical pure form andsubsequent crystallographic investigations implied the phase conversion from binary to single-phasealong with the shape due to the doping. Optical characterization indicated a modified band structurewith newly generated isolated impurity states within the principle zirconia band edges. As per the X-rayspectroscopy data, boron was detected as chemically bound to oxygen while electron paramagneticresonance indicated the presence of an adsorbed oxygen lattice. During UV and simulated solarirradiation trials, respective removal capabilities of 90% and 93% of the model compound wereaccomplished, hence the effectiveness of the photocatalyst was confirmed. The enhanced photoactivityobserved in the UV region was attributed to combined effects of the boron-induced isolated impuritystates within principle band edges of zirconia, the defect-rich planer morphology, favorable interfacialinteractions and the greater availability of oxygen on the lattice. Developed nanoflakes are stable, inert,and efficient hence exhibiting compelling suitability in the remediation of harmful industrial organiccompounds.
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