Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let @C"n and @L"n be the n-dimensional Fibonacci cube and Lucas cube, respectively. The domination number @c of Fibonacci cubes and Lucas cubes is studied. In particular it is proved that @c(@L"n) is bounded below by @?L"n-2nn-3@?, where L"n is the nth Lucas number. The 2-packing number @r of these cubes is also studied. It is proved that @r(@C"n) is bounded below by 2^2^^^@?^^^l^^^g^^^n^^^@?^^^2^^^-^^^1 and the exact values of @r(@C"n) and @r(@L"n) are obtained for n@?10. It is also shown that Aut(@C"n)~Z"2.
['Aline Castro', 'Sandi Klavar', 'Michel Mollard', 'Yoomi Rho']
I am writing a research paper on a idea On the domination number and the 2-packing number of Fibonacci cubes and Lucas cubes
[{"from": "human", "value": "I am writing a research paper on a idea On the domination number and the 2-packing number of Fibonacci cubes and Lucas cubes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let @C\"n and @L\"n be the n-dimensional Fibonacci cube and Lucas cube, respectively. The domination number @c of Fibonacci cubes and Lucas cubes is studied. In particular it is proved that @c(@L\"n) is bounded below by @?L\"n-2nn-3@?, where L\"n is the nth Lucas number. The 2-packing number @r of these cubes is also studied. It is proved that @r(@C\"n) is bounded below by 2^2^^^@?^^^l^^^g^^^n^^^@?^^^2^^^-^^^1 and the exact values of @r(@C\"n) and @r(@L\"n) are obtained for n@?10. It is also shown that Aut(@C\"n)~Z\"2."}]