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» On median graphs and median grid graphs
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DM
2000
89views more  DM 2000»
13 years 4 months ago
On median graphs and median grid graphs
Let G be a Q4-free median graph on n vertices and m edges. Let k be the number of equivalence classes of Djokovi
Sandi Klavzar, Riste Skrekovski
EJC
1998
13 years 4 months ago
A Convexity Lemma and Expansion Procedures for Bipartite Graphs
A hierarchy of classes of graphs is proposed which includes hypercubes, acyclic cubical complexes, median graphs, almost median graphs, premedian graphs and partial cubes. Structu...
Wilfried Imrich, Sandi Klavzar
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
ICPR
2008
IEEE
13 years 11 months ago
An approximate algorithm for median graph computation using graph embedding
Graphs are powerful data structures that have many attractive properties for object representation. However, some basic operations are difficult to define and implement, for ins...
Miquel Ferrer, Ernest Valveny, Francesc Serratosa,...
SIAMDM
2011
12 years 11 months ago
Stable Roommates Matchings, Mirror Posets, Median Graphs, and the Local/Global Median Phenomenon in Stable Matchings
For stable marriage (SM) and solvable stable roommates (SR) instances, it is known that there are stable matchings that assign each participant to his or her (lower/upper) median ...
Christine T. Cheng, Anhua Lin