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CSR
2008
Springer
15 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
ARSCOM
2006
140views more  ARSCOM 2006»
15 years 4 months ago
Expansion Properties Of Levi Graphs
ABSTRACT. The Levi graph of a balanced incomplete block design is the bipartite graph whose vertices are the points and blocks of the design, with each block adjacent to those poin...
Dominic Lanphier, C. Miller, Jason Rosenhouse, A. ...
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
15 years 4 months ago
Diameter and Treewidth in Minor-Closed Graph Families, Revisited
Eppstein [5] characterized the minor-closed graph families for which the treewidth is bounded by a function of the diameter, which includes e.g. planar graphs. This characterizatio...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
CORR
2007
Springer
126views Education» more  CORR 2007»
15 years 4 months ago
Network synchronizability analysis: the theory of subgraphs and complementary graphs
In this paper, subgraphs and complementary graphs are used to analyze network synchronizability. Some sharp and attainable bounds are derived for the eigenratio of the network str...
Zhisheng Duan, Chao Liu, Guanrong Chen
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
16 years 2 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...