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Section: New Results

General comments

We present in this section the main results obtained in 2018.

We tried to organise these along the four axes as presented above. Clearly, in some cases, a result obtained overlaps more than one axis. In such case, we chose the one that could be seen as the main one concerned by such results.

We did not indicate here the results on more theoretical aspects of computer science if it did not seem for now that they could be relevant in contexts related to computational biology. Actually, those on string [32], [33], [36], [11] and graph algorithms in general [2], [35], [38], [37], [39], [41], [54], [42], [44], [43], [40], [47], [5], [45], [48], [49], [53], [23], [24], or on more general algorithmic problems notably related to data structures are already relevant for life sciences (biology or ecology) or in the future could become more specifically so. We do in particular believe that dynamic graph approaches could be of great interest in the future for some of the enumeration problems we constantly meet in biology.

A few other results of 2018 are not mentioned in this report, not because the corresponding work is not important, but because it was likewise more specialised [52], or the work represented a survey e.g. [21]). Likewise, also for space reasons, we do not detail the results presented in some biological papers of the team when these did not require a mathematical or algorithmical input or are surveys [1], [4], [7], [8], [12], [19], [20], [22], [25], [31].

On the other hand, we do mention a couple of works that were submitted towards the end of 2018.