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» The convexity spectra of graphs
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DAM
2008
68views more  DAM 2008»
13 years 4 months ago
The convexity spectra of graphs
Li-Da Tong, Pei-Lan Yen, Alastair Farrugia
JGAA
2008
100views more  JGAA 2008»
13 years 4 months 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
PR
2008
206views more  PR 2008»
13 years 4 months ago
A study of graph spectra for comparing graphs and trees
The spectrum of a graph has been widely used in graph theory to characterise the properties of a graph and extract information from its structure. It has also been employed as a g...
Richard C. Wilson, Ping Zhu
CORR
2010
Springer
198views Education» more  CORR 2010»
13 years 1 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
COMBINATORICS
2007
100views more  COMBINATORICS 2007»
13 years 4 months ago
Revisiting Two Classical Results on Graph Spectra
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) If H is a proper subgraph of a connected graph G o...
Vladimir Nikiforov