Given a connected graph with domination (or total domination) number gamma >= 2, we ask for the maximum number m(gamma) and m(T,gamma) of dominating and total dominating sets of size gamma. An exact answer is provided for gamma = 2 and lower bounds are given for m(gamma), m(T,gamma); gamma >= 3.
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East Tennessee State Univ, Dept Math & Stat, Johnson City, TN 37614 USA
Univ Johannesburg, Dept Math & Appl Math, ZA-2006 Auckland Pk, South AfricaEast Tennessee State Univ, Dept Math & Stat, Johnson City, TN 37614 USA
Haynes, Teresa W.
Henning, Michael A.
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Univ Johannesburg, Dept Math & Appl Math, ZA-2006 Auckland Pk, South AfricaEast Tennessee State Univ, Dept Math & Stat, Johnson City, TN 37614 USA
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Research and Development Centre, Bharathiar University, CoimbatoreResearch and Development Centre, Bharathiar University, Coimbatore
Jagadeesh R.
Kanna M.R.R.
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Research and Development Centre, Bharathiar University, CoimbatoreResearch and Development Centre, Bharathiar University, Coimbatore
Kanna M.R.R.
Mamta D.
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Department of Mathematics, National Institute of Engineering, MysuruResearch and Development Centre, Bharathiar University, Coimbatore
Mamta D.
Kumar R.P.
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Research and Development Centre, Bharathiar University, Coimbatore
Post Graduate Department of Mathematics, Maharani's Science College for Women, J. L. B. Road, MysuruResearch and Development Centre, Bharathiar University, Coimbatore
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Autonomous Univ Guerrero, Fac Math, Carlos E Adame 5, Acapulco 39087, Guerrero, MexicoAutonomous Univ Guerrero, Fac Math, Carlos E Adame 5, Acapulco 39087, Guerrero, Mexico
Hernandez-Gomez, Juan C.
Reyna-Hernandez, Gerardo
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Autonomous Univ Guerrero, Fac Math, Carlos E Adame 5, Acapulco 39087, Guerrero, MexicoAutonomous Univ Guerrero, Fac Math, Carlos E Adame 5, Acapulco 39087, Guerrero, Mexico
Reyna-Hernandez, Gerardo
Romero-Valencia, Jesus
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Autonomous Univ Guerrero, Fac Math, Sauce 19, Chilpancingo De Los Brav 39086, Guerrero, MexicoAutonomous Univ Guerrero, Fac Math, Carlos E Adame 5, Acapulco 39087, Guerrero, Mexico
Romero-Valencia, Jesus
Rosario Cayetano, Omar
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Autonomous Univ Guerrero, Fac Math, Carlos E Adame 5, Acapulco 39087, Guerrero, MexicoAutonomous Univ Guerrero, Fac Math, Carlos E Adame 5, Acapulco 39087, Guerrero, Mexico
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Department of Mathematics and Statistics, Thompson Rivers University, 805 TRU Way, B.C, Kamloops,V2C 0C8, CanadaDepartment of Mathematics and Statistics, Thompson Rivers University, 805 TRU Way, B.C, Kamloops,V2C 0C8, Canada
Brewster, R.C.
Mynhardt, C.M.
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Department of Mathematics and Statistics, University of Victoria, PO BOX 1700 STN CSC, BC, Victoria,V8W 2Y2, CanadaDepartment of Mathematics and Statistics, Thompson Rivers University, 805 TRU Way, B.C, Kamloops,V2C 0C8, Canada
Mynhardt, C.M.
Teshima, L.E.
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Department of Mathematics and Statistics, University of Victoria, PO BOX 1700 STN CSC, BC, Victoria,V8W 2Y2, CanadaDepartment of Mathematics and Statistics, Thompson Rivers University, 805 TRU Way, B.C, Kamloops,V2C 0C8, Canada