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» On the Connectivity of Graphs Embedded in Surfaces II
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GC
2006
Springer
13 years 4 months ago
The Semi-Arc Automorphism Group of a Graph with Application to Map Enumeration
A map is a connected topological graph cellularly embedded in a surface. For a given graph , its genus distribution of rooted maps and embeddings on orientable and non-orientable s...
Linfan Mao, Yanpei Liu, Erling Wei
EJC
2007
13 years 4 months ago
Chords of longest circuits in locally planar graphs
It was conjectured by Thomassen ([B. Alspach, C. Godsil, Cycle in graphs, Ann. Discrete Math. 27 (1985)], p. 466) that every longest circuit of a 3-connected graph must have a cho...
Ken-ichi Kawarabayashi, Jianbing Niu, Cun-Quan Zha...
CSR
2008
Springer
13 years 6 months ago
From Invariants to Canonization in Parallel
A function f of a graph is called a complete graph invariant if two given graphs G and H are isomorphic exactly when f(G) = f(H). If additionally, f(G) is a graph isomorphic to G, ...
Johannes Köbler, Oleg Verbitsky
FOCS
2002
IEEE
13 years 9 months ago
Global Information from Local Observation
We observe a certain random process on a graph ”locally”, i.e., in the neighborhood of a node, and would like to derive information about ”global” properties of the graph....
Itai Benjamini, László Lovász
COMPGEOM
2005
ACM
13 years 6 months ago
Dynamic maintenance of molecular surfaces under conformational changes
We present an efficient algorithm for maintaining the boundary and surface area of protein molecules as they undergo conformational changes. We also describe a robust implementati...
Eran Eyal, Dan Halperin