Rapport interne.Liskovets and Walsh recently counted bipartite eulerian planar maps, that is embeddings of planar bipartite graphs with all vertices of even degrees. In this note we present a simple one-to-one correspondence between the latter and the 4-eulerian maps enumerated by Bousquet-Mélou and Schaeffer (\emph{Adv. Appl. Math.}, 2000). A bijective enumeration then follows
In this paper a new method for establishing generating equations of rooted Eulerian planar maps will...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
Let G be an Eulerian bipartite digraph with vertex partition sizes m,n.We prove the following Turán...
Rapport interne.Liskovets and Walsh recently counted bipartite eulerian planar maps, that is embeddi...
Dedicated to the memory of Professor William T.Tutte Sum-free enumerative formulae are derived for s...
International audienceWe address the enumeration of planar 4-valent maps equipped with an Eulerian o...
37 pp.International audienceThe enumeration of planar maps equipped with an Eulerian orientation ha...
Constellations are colored planar maps that generalize different families of maps (planar maps, bi...
Constellations are colored planar maps that generalize different families of maps (planar maps, bipa...
We provide the first solution to the problem of counting rooted 3-connected bipartite planar maps. O...
AbstractA theorem is proved on the existence of directed faces and sources or sinks in directed plan...
We present bijective proofs for the enumeration of planar maps and non-separable planar maps, and ap...
We obtain simple quadratic recurrence formulas counting bipartite maps on surfaces with prescribed d...
International audienceWe introduce bijections between families of rooted maps with unfixed genus and...
AbstractA straight-ahead walk in an embedded Eulerian graph G always passes from an edge to the oppo...
In this paper a new method for establishing generating equations of rooted Eulerian planar maps will...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
Let G be an Eulerian bipartite digraph with vertex partition sizes m,n.We prove the following Turán...
Rapport interne.Liskovets and Walsh recently counted bipartite eulerian planar maps, that is embeddi...
Dedicated to the memory of Professor William T.Tutte Sum-free enumerative formulae are derived for s...
International audienceWe address the enumeration of planar 4-valent maps equipped with an Eulerian o...
37 pp.International audienceThe enumeration of planar maps equipped with an Eulerian orientation ha...
Constellations are colored planar maps that generalize different families of maps (planar maps, bi...
Constellations are colored planar maps that generalize different families of maps (planar maps, bipa...
We provide the first solution to the problem of counting rooted 3-connected bipartite planar maps. O...
AbstractA theorem is proved on the existence of directed faces and sources or sinks in directed plan...
We present bijective proofs for the enumeration of planar maps and non-separable planar maps, and ap...
We obtain simple quadratic recurrence formulas counting bipartite maps on surfaces with prescribed d...
International audienceWe introduce bijections between families of rooted maps with unfixed genus and...
AbstractA straight-ahead walk in an embedded Eulerian graph G always passes from an edge to the oppo...
In this paper a new method for establishing generating equations of rooted Eulerian planar maps will...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
Let G be an Eulerian bipartite digraph with vertex partition sizes m,n.We prove the following Turán...