NDLI: Isomorphism testing for graphs of bounded genus

Content Provider	ACM Digital Library
Author	Miller, Gary
Abstract	We present an algorithm which determines isomorphism of graphs in vO(g)steps where v is the number of vertices and g is the genus of the graphs. In [FMR 79] an algorithm was presented for embedding graph on surfaces of genus g in vO(g) steps. Here we show how to extend this algorithm to isomorphism testing for graphs of small genus. This result is noteworthy for at least two reasons. First, this extends the polynomial time isomorphism results for the plane [HT 72] and also the projective plane [L 80] to arbitrary surfaces. Second, this gives one of the few known natural decompositions of the isomorphism problem into an infinite hierarchy of problems Po,P1,. such that isomorphism testing of problems in P1 is decidable in time vO(i).
Starting Page	225
Ending Page	235
Page Count	11
File Format	PDF
ISBN	0897910176
DOI	10.1145/800141.804670
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1980-04-28
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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Isomorphism testing for graphs of bounded genus