By Fedor V. Fomin (auth.), Ruay-Shiung Chang, Lakhmi C. Jain, Sheng-Lung Peng (eds.)
The box of clever structures and functions has increased drastically over the past 20 years. Theoretical and sensible leads to this sector are becoming swiftly as a result of many winning purposes and new theories derived from many different difficulties. This booklet is devoted to the clever platforms and functions in lots of varied elements. particularly, this publication is to supply highlights of the present study in clever structures and purposes. It includes examine papers within the following particular topics:
l Graph idea and Algorithms
l Interconnection Networks and Combinatorial Algorithms
l synthetic Intelligence and Fuzzy Systems
l Database, information Mining, and data Retrieval
l details Literacy, e-Learning, and Social Media
l machine Networks and internet Service/Technologies
l instant Sensor Networks
l instant community Protocols
l instant info Processing
This booklet offers a connection with theoretical difficulties in addition to functional strategies and functions for the state of the art leads to clever platforms and purposes at the aforementioned subject matters. particularly, either the tutorial neighborhood (graduate scholars, post-doctors and colleges) in electric Engineering, computing device technological know-how, and utilized arithmetic; and the commercial neighborhood (engineers, engineering managers, programmers, learn lab staffs and executives, defense managers) will locate this e-book interesting.
Read or Download Advances in Intelligent Systems and Applications - Volume 1: Proceedings of the International Computer Symposium ICS 2012 Held at Hualien, Taiwan, December 12–14, 2012 PDF
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Additional info for Advances in Intelligent Systems and Applications - Volume 1: Proceedings of the International Computer Symposium ICS 2012 Held at Hualien, Taiwan, December 12–14, 2012
Let ui ∼ S for some 1 ≤ i ≤ k − 1. By Proposition 4, ui+1 S. And by Proposition 5, degP (ui+1 ) ≤ |V (P )| − |NP (S)|. We have degG (x) + degG (ui+1 ) ≤ |V (S)| − 1 + |NP (S)| + |V (P )| − |NP (S)| = |V (S)| + |V (P )| − 1 = n − 1. Since x ui+1 , it contradicts the degree-sum assumption of Theorem 3. Consequently, it must be v ∼ S. With the similar argument, it can be shown that u ∼ S. Property 7. S is a complete graph. Proof. Suppose there exist two distinct vertices x and y of S such that x y.
E. e. e ∈ Nm [M ]. Free elements need not be covered by M but may be included in M in order to cover bound elements. The mixed total covering number of G, denoted by α2m (P(G)), is the minimum cardinality of a total covering set of G with partition P, and such a set is called an α2m -set of G with partition P. The mixed total covering problem is to ﬁnd α2m (P(G)) of a graph G with partition P. Let P be a partition of G. For two elements x, y ∈ V ∪ E, if x and y are in sets X and Y , respectively, then, for brevity, we say that x and y are in XY .
S is connected. That is, S consists of exactly one component. Proof. Suppose that S is not connected and S consists of two components, denoted by S1 and S2 . Let x and y be two vertices of S with x ∈ S1 and y ∈ S2 . It is obvious that degS1 (x) ≤ |V (S1 )| − 1 and degS2 (y) ≤ |V (S2 )| − 1. By Proposi)| )| tion 2, degP (x) ≤ |V (P and degP (y) ≤ |V (P . Therefore, 2 2 degG (x) + degG (y) ≤ |V (S1 )| + |V (S2 )| + 2 ≤ |V (S)| + |V (P )| − 1 = n − 1. -K. Shih, H. -S. Kao Since x y, it is contradictory to the degree-sum assumption of Theorem 3.
Advances in Intelligent Systems and Applications - Volume 1: Proceedings of the International Computer Symposium ICS 2012 Held at Hualien, Taiwan, December 12–14, 2012 by Fedor V. Fomin (auth.), Ruay-Shiung Chang, Lakhmi C. Jain, Sheng-Lung Peng (eds.)