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THE OUTER-CONNECTED VERTEX EDGE DOMINATION NUMBER OF A TREE
Krishnakumari, Balakrishna,Venkatakrishnan, Yanamandram Balasubramanian Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.1
For a given graph G = (V, E), a set $D{\subseteq}V(G)$ is said to be an outer-connected vertex edge dominating set if D is a vertex edge dominating set and the graph $G{\backslash}D$ is connected. The outer-connected vertex edge domination number of a graph G, denoted by ${\gamma}^{oc}_{ve}(G)$, is the cardinality of a minimum outer connected vertex edge dominating set of G. We characterize trees T of order n with l leaves, s support vertices, for which ${\gamma}^{oc}_{ve}(T)=(n-l+s+1)/3$ and also characterize trees with equal domination number and outer-connected vertex edge domination number.
Krishnakumari Aharamuthu,Elaya Perumal Ayyasamy 대한기계학회 2013 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.27 No.3
Gears are one of the most common mechanisms for transmitting power and motion.Studies on gear teeth contacts have been consid-ered as one of the most complicated applications. Depending on the application, the speed and load conditions of teeth may cause several types of failures on teeth surface which leads to non stationary operating conditions. This paper is attempt to analyze the effectiveness of the new time-frequency distributions called the Zhao-Atlas-Marks (ZAM) distribution to enhance non stationary signal analysis for fault diagnosis in spur gears. Also the performance of ZAM with other methods like short term fourier transform (STFT) and discrete wavelet transform (DWT) is discussed in this paper.