scholarly journals On star coloring of modular product of graphs

Author(s):  
Kaliraj K ◽  
Sivakami R ◽  
Vernold VIVIN J
Author(s):  
B. Akhavan Mahdavi ◽  
M. Tavakoli ◽  
F. Rahbarnia ◽  
Alireza Ashrafi

A star coloring of a graph [Formula: see text] is a proper coloring of [Formula: see text] such that no path of length 3 in [Formula: see text] is bicolored. In this paper, the star chromatic number of join of graphs is computed. Some sharp bounds for the star chromatic number of corona, lexicographic, deleted lexicographic and hierarchical product of graphs together with a conjecture on the star chromatic number of lexicographic product of graphs are also presented.


2020 ◽  
Vol 9 (4) ◽  
pp. 2365-2371
Author(s):  
S. Nagarajan ◽  
G. Priyadharsini
Keyword(s):  

2020 ◽  
Vol 9 (10) ◽  
pp. 8357-8365
Author(s):  
S. M. Aliyar ◽  
K. Manikandan ◽  
S. Manimaran

2019 ◽  
Vol 342 (3) ◽  
pp. 807-814
Author(s):  
Tanja Gologranc ◽  
Polona Repolusk

2021 ◽  
Vol 1 ◽  
pp. 2057-2066
Author(s):  
Nicola Viktoria Ganter ◽  
Behrend Bode ◽  
Paul Christoph Gembarski ◽  
Roland Lachmayer

AbstractOne of the arguments against an increased use of repair is that, due to the constantly growing progress, an often already outdated component would be restored. However, refurbishment also allows a component to be modified in order to upgrade it to the state of the art or to adapt it to changed requirements. Many existing approaches regarding Design for Upgradeability are based on a modular product architecture. In these approaches, however, only the upgradeability of a product is considered through the exchange of components. Nevertheless, the exchange and improvement of individual component regions within a refurbishment has already been successfully carried out using additive processes. In this paper, a general method is presented to support the reengineering process, which is necessary to refurbish and upgrade a damaged component. In order to identify which areas can be replaced in the closed system of a component, the systematics of the modular product architecture are used. This allows dependencies between functions and component regions to be identified. Thus, it possible to determine which functions can be integrated into the intended component.


1992 ◽  
Vol 16 (4) ◽  
pp. 297-303
Author(s):  
Elefterie Olaru ◽  
Eugen M??ndrescu

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