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Volume 42 (2025)
Volume 42, Issue 4 (In Progress)
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Volume 41 (2024)

	Volume 41, Issue 8 Pg 603 - 708 (November 2024)
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Volume 40 (2023)
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Pg 139 - 245 (November 2023)
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Pg 1 - 137 (October 2023)
Volume 39 (2023)
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Pg 145 - 284 (August 2023)
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Pg 145 - 271 (May 2023)
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Volume 35 (2022)
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Pg 85 - 163 (October 2008)
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Pg 1 - 84 (July 2008)
Volume 1 (2008)
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Pg 109 - 226 (April 2008)
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Pg 1 - 108 (January 2008)

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Advances and Applications in Discrete Mathematics

Advances and Applications in Discrete Mathematics
Volume 18, Issue 1, Pages 45 - 56 (January 2017)
http://dx.doi.org/10.17654/AADMJan2017_045_056

THEk-INDEPENDENT GRAPH OF A GRAPH

Davood Fatehi, Saeid Alikhani and Abdul Jalil M. Khalaf

Abstract:

Let be a simple graph. A set is an independent set, if no two of its members are adjacent inG. Thek-independent graph ofG, is defined to be the graph whose vertices correspond to the independent sets ofG that have cardinality at mostk. Two vertices in are adjacent if and only if the corresponding independent sets ofG differ by either adding or deleting a single vertex. In this paper, we obtain some properties of and compute it for some graphs.