Geodesic
Functional graph trees for circulants with linear Boolean functions at the vertices
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 80-81

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The functional graph of a discrete dynamic system being a model of regulatory gene network circuit is defined as the graph of the transformation $A_{f,2}:F_{2}^{n}\rightarrow F_{2}^{n}$ where $A_{f,2}(v_0,v_1,\ldots,v_{n-1}) = (u_0,u_1,\ldots,u_{n-1})$, $u_i=v_{i-1}+v_i+v_{i+1}$, $i=0,1,\ldots,n-1$, $v_{-1}=v_{n-1}$, $v_n=v_0$. The structure of this graph is completely described.
Keywords: discrete dynamical system, gene network, regulatory circuit, functional graph.
Mots-clés : circulant 
@article{PDMA_2013_6_a37,
     author = {A. S. Kornienko},
     title = {Functional graph trees for circulants with linear {Boolean} functions at the vertices},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {80--81},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2013_6_a37/}
}
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A. S. Kornienko. Functional graph trees for circulants with linear Boolean functions at the vertices. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 80-81. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a37/