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COMBINATORICS
2006
144views more  COMBINATORICS 2006»
15 years 16 days ago
Weighted Zeta Functions of Graph Coverings
We present a decomposition formula for the weighted zeta function of an irregular covering of a graph by its weighted L-functions. Moreover, we give a factorization of the weighte...
Iwao Sato
JGAA
2008
100views more  JGAA 2008»
15 years 14 days ago
Convex Grid Drawings of Plane Graphs with Rectangular Contours
In a convex drawing of a plane graph, all edges are drawn as straight-line segments without any edge-intersection and all facial cycles are drawn as convex polygons. In a convex gr...
Kazuyuki Miura, Akira Kamada, Takao Nishizeki
96
Voted
JCT
2010
112views more  JCT 2010»
14 years 11 months ago
Annular embeddings of permutations for arbitrary genus
In the symmetric group on a set of size 2n, let P2n denote the conjugacy class of involutions with no fixed points (equivalently, we refer to these as “pairings”, since each ...
I. P. Goulden, William Slofstra
DAM
2008
83views more  DAM 2008»
15 years 17 days ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
103
Voted
AAIM
2009
Springer
105views Algorithms» more  AAIM 2009»
15 years 7 months ago
On Acyclicity of Games with Cycles
We study restricted improvement cycles (ri-cycles) in finite positional n-person games with perfect information modeled by directed graphs (digraphs) that may contain cycles. We o...
Daniel Andersson, Vladimir Gurvich, Thomas Dueholm...