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IAJIT
2011
12 years 8 months ago
On the genus of pancake network
: Both the pancake graph and star graph are Cayley graphs and are especially attractive for parallel processing. They both have sublogarithmic diameter, and are fairly sparse compa...
Quan T. Nguyen, Saïd Bettayeb
DM
2011
202views Education» more  DM 2011»
12 years 8 months ago
Two-ended regular median graphs
We show that regular median graphs of linear growth are the Cartesian product of finite hypercubes with the two-way infinite path. Such graphs are Cayley graphs and have only tw...
Wilfried Imrich, Sandi Klavzar
COMBINATORICS
1998
79views more  COMBINATORICS 1998»
13 years 4 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...
IPL
2000
119views more  IPL 2000»
13 years 4 months ago
Cyclic-cubes and wrap-around butterflies
Recently a new family of Cayley graphs of fixed even node degree called the Cyclic-cubes were proposed as interconnection networks by Fu and Chau (1998). We show that these networ...
Meghanad D. Wagh, Prakash Math, Osman Guzide
COMBINATORICS
2002
116views more  COMBINATORICS 2002»
13 years 4 months ago
Toida's Conjecture is True
Let S be a subset of the units in Zn. Let be a circulant graph of order n (a Cayley graph of Zn) such that if ij E(), then i - j (mod n) S. Toida conjectured that if is another...
Edward Dobson, Joy Morris
DAGSTUHL
2006
13 years 6 months ago
Vertex reconstruction in Cayley graphs
In this report paper we collect recent results on the vertex reconstruction in Cayley graphs Cay(G, S). The problem is stated as the problem of reconstructing a vertex from the mi...
Elena V. Konstantinova
ICCS
2004
Springer
13 years 10 months ago
Graphical and Computational Representation of Groups
An important part of the computer science is focused on the links that can be established between group theory and graph theory. Cayley graphs can establish such a link but meet so...
Alain Bretto, Luc Gillibert
STACS
2007
Springer
13 years 11 months ago
Broadcasting vs. Mixing and Information Dissemination on Cayley Graphs
One frequently studied problem in the context of information dissemination in communication networks is the broadcasting problem. In this paper, we study the following randomized b...
Robert Elsässer, Thomas Sauerwald
SIGMOD
2008
ACM
139views Database» more  SIGMOD 2008»
14 years 5 months ago
Paths to stardom: calibrating the potential of a peer-based data management system
As peer-to-peer (P2P) networks become more familiar to the database community, intense interest has built up in using their scalability and resilience properties to scale database...
Mihai Lupu, Beng Chin Ooi, Y. C. Tay