Geodesic
A Polynomial Delay Algorithm for Generating Connected Induced Subgraphs of a Given Cardinality
Journal of Graph Algorithms and Applications, Tome 19 (2015) no. 1, pp. 273-280.

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We give a polynomial delay algorithm, that for any graph G and positive integer k, enumerates all connected induced subgraphs of G of order k. Our algorithm enumerates each subgraph in at most O((kmin{(n−k),k∆})2(∆+logk)) and uses linear space O(n+m), where n and m are respectively the number of vertices and edges of G and ∆ is the maximum degree. 
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     author = {Khaled Elbassioni},
     title = {A {Polynomial} {Delay} {Algorithm} for {Generating} {Connected} {Induced} {Subgraphs} of a {Given} {Cardinality}},
     journal = {Journal of Graph Algorithms and Applications},
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     volume = {19},
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     year = {2015},
     doi = {10.7155/jgaa.00357},
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     url = {http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00357/}
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Khaled Elbassioni. A Polynomial Delay Algorithm for Generating Connected Induced Subgraphs of a Given Cardinality. Journal of Graph Algorithms and Applications, Tome 19 (2015) no. 1, pp. 273-280. doi : 10.7155/jgaa.00357. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00357/

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