What are the recent studies on independence number and covering number of graph products and graph powers?

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Sudev Naduvath

You can see the studies and relevant results on various parameters of different products of certain graph classes in the following book. These are very nice books consisting of comprehensive studies on different graph products.

1. W. Imrich and S. Klavzar, Product Graphs: Structure and Recognition, Wiley (2000).

2. R. Hammack, W. Imrich and S. Klavzar, Handbook of Product Graphs, CRC Press (2011).

For the independence number of graph products, please refer these articles too.

http://www.sciencedirect.com/science/article/pii/0095895674900811

http://ac.els-cdn.com/0893965994900183/1-s2.0-0893965994900183-main.pdf?_tid=1fd52c5a-0eb2-11e5-b2ed-00000aacb362&acdnat=1433859570_2b02d9f132d22eacf827ffa2bce64581

http://ac.els-cdn.com/S0898122198001692/1-s2.0-S0898122198001692-main.pdf?_tid=429782ec-0eb2-11e5-a313-00000aacb35f&acdnat=1433859629_cce1a3a25e77ab8d9171e26df1e79368

Some useful articles on the independence number of certain graph powers are attached herewith.

http://www.ysu.am/files/1.ON%20THE%20INDEPENDENCE%20NUMBERS%20OF%20THE%20POWERS%20OF%20%20%20GRAPH.pdf

http://holzman.technion.ac.il/files/2012/09/maxindejc.pdf

http://www.sfu.ca/~mohar/Papers/AlonMoharCPC.pdf