In the present paper we construct a bijection that relates a set CN,p,q of unicellular partitioned bicolored maps to a set of couples (t, σ) of ordered bicolored trees and partial permutations. This bijection allows us to derive an elegant formula for the enumeration of unicellular bicolored maps, an analogue of the well-known Harer-Zagier result for unicolored one-face maps. Résumé. Dans cet a...

Brian Charlesworth (Edinburgh University) concluded that the two major evolutionary problems were the “origin of life” and the “evolution of human consciousness and cognition.” Toward the latter issue, this chapter traces a path linking the molecular origins of adaptive behaviors in unicellular organisms to the synaptic mechanisms of human cognition and its medical disorders. This framework has...