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For many it felt like a necessary game too, one that not only closed a unique cycle, of Euros-World Cup-Euros, but closed the debate too.
Oë's commitment to Hikari (nicknamed "Pooh" after AA Milne's bear) inspired, over 30 years, a unique cycle of fiction whose protagonists are fathers of brain-damaged sons.
A unicyclic graph is a connected graph with a unique cycle.
Let G be a 1-augmented tree with a unique cycle C of length p which by our assumption contains at least one simple edge.
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Indeed, due to technical issues, the right PSM samples of the time series were dissected from mouse embryos belonging to five consecutive somite cycles, and they were ordered based on their phase of Lfng expression pattern (revealed by in situ hybridization on the left PSM of each dissected mouse embryo) to reconstitute a unique oscillation cycle [5].
Note that the arc ((k,j)) is a part of the unique cycle CQ of Q, and that the same unicyclic graph Q can be formed when each arc of CQ is added to a corresponding rooted tree T. Therefore, the double sum in (G_{2}) can be reorganized as a sum over all unicyclic subgraphs Q containing vertices ({1,2,ldots,m}).
Although no effective representation scheme is known even to 1-augmented trees, we can create a tree by removing one edge in the unique cycle in a 1-augmented tree (two multiple edges with the same endvertices is not called a cycle in this paper).
LL-MAC uses novel techniques to offer a low end-to-end data transmission latency from the furthest away nodes to the sink in a unique working cycle while offering a low duty cycle operation in a multi-hop fashion.
Let G be a connected unicyclic graph whose unique cycle is even.
Theorem 2.3 Let G be a connected unicyclic graph whose unique cycle C is even.
When α = 1, the system has a unique limit cycle when μ > a 2 + 1 and it has a stable limit cycle for ( a − 1 ) 2 < μ < a 2 + 1 [38].
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