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STOC
2004
ACM
73views Algorithms» more  STOC 2004»
14 years 9 months ago
Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus
In this paper, we address two longstanding questions about finding good separators in graphs of bounded genus and degree:
Jonathan A. Kelner
DM
2006
92views more  DM 2006»
13 years 8 months ago
Sums of powers of the degrees of a graph
For a graph G and k a real number, we consider the sum of the k-th powers of the degrees of the vertices of G. We present some general bounds on this sum for various values of k. ...
Sebastian M. Cioaba
COMBINATORICS
1998
79views more  COMBINATORICS 1998»
13 years 8 months ago
A Note on Constructing Large Cayley Graphs of Given Degree and Diameter by Voltage Assignments
Voltage graphs are a powerful tool for constructing large graphs (called lifts) with prescribed properties as covering spaces of small base graphs. This makes them suitable for ap...
Ljiljana Brankovic, Mirka Miller, Ján Plesn...
DM
2008
94views more  DM 2008»
13 years 8 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros
CCCG
2010
13 years 10 months ago
Stable roommates and geometric spanners
In this paper we devise a new geometric spanner based on a generalization of the known Stable Roommates algorithm. This spanner is on the "path" between the Yao graph an...
Paz Carmi, Lilach Chaitman