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DM
2011
202views Education» more  DM 2011»
8 years 9 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
DM
2011
158views Education» more  DM 2011»
8 years 9 months ago
A survey of homogeneous structures
A relational first order structure is homogeneous if it is countable (possibly finite) and every isomorphism between finite substructures extends to an automorphism. This artic...
Dugald Macpherson
DM
2011
211views Education» more  DM 2011»
8 years 9 months ago
A generalization of plexes of Latin squares
A k-plex of a latin square is a collection of cells representing each row, column, and symbol precisely k times. The classic case of k = 1 is more commonly known as a transversal....
Kyle Pula
DM
2011
273views Education» more  DM 2011»
9 years 22 days ago
The degree sequence of Fibonacci and Lucas cubes
The Fibonacci cube Γn is the subgraph of the n-cube induced by the binary strings that contain no two consecutive 1’s. The Lucas cube Λn is obtained
Sandi Klavzar, Michel Mollard, Marko Petkovsek
DM
2011
318views Education» more  DM 2011»
9 years 22 days ago
The Legendre-Stirling numbers
Abstract. The Legendre-Stirling numbers were discovered in 2002 as a result of a problem involving the spectral theory of powers of the classical second-order Legendre di¤erential...
George E. Andrews, Wolfgang Gawronski, Lance L. Li...
DM
2011
223views Education» more  DM 2011»
9 years 22 days ago
On graph equivalences preserved under extensions
Let G be the set of finite graphs whose vertices belong to some fixed countable set, and let ≡ be an equivalence relation on G. By the strengthening of ≡ we mean an equivalen...
Zbigniew Lonc, Miroslaw Truszczynski
DM
2011
264views Education» more  DM 2011»
9 years 22 days ago
Connectivity threshold and recovery time in rank-based models for complex networks
The World Wide Web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to an...
Pawel Pralat
DM
2011
228views Education» more  DM 2011»
9 years 22 days ago
The largest missing value in a composition of an integer
Archibald and Knopfmacher recently considered the largest missing value in a composition of an integer and established mean and variance. Our alternative, probabilistic approach p...
Margaret Archibald, Arnold Knopfmacher
DM
2011
249views Education» more  DM 2011»
9 years 22 days ago
Acyclic vertex coloring of graphs of maximum degree 5
An acyclic vertex coloring of a graph is a proper vertex coloring such that there are no bichromatic cycles.  The acyclic chromatic number of G, denoted ...
Kishore Yadav, Satish Varagani, Kishore Kothapalli...
DM
2011
209views Education» more  DM 2011»
9 years 22 days ago
Brun expansions of stepped surfaces
Valérie Berthé, Thomas Fernique
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