Odd Gracefulness and Odd Strongly Harmoniousness of dumbbell-shape graphs 2Cn+Pl have been studied. This paper has described that dumbbell-shape graphs 2Cn+Pl are Odd Graceful graph when n=4k and n=4k+2, and that dumb⁃bell-shape graphs 2Cn+Pl are Odd Strongly Harmonious graph when n=4k.%研究了哑铃图2Cn+Pl的奇优美性和奇强协调性,得到了哑铃图2Cn+Pl在n=4k以及n=4k+2时是奇优美图,在n=4k时是奇强协调图等结论。
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