Discrete Mathematics
Discrete Mathematics
Dismantling absolute retracts of reflexive graphs
European Journal of Combinatorics
The retracts of Hamming graphs
Discrete Mathematics
Prefibers and the cartesian product of metric spaces
Discrete Mathematics - Algebraic graph theory; a volume dedicated to Gert Sabidussi
Journal of Graph Theory
Quasi-median graphs and algebras
Journal of Graph Theory
A Helly theorem in weakly modular space
Discrete Mathematics
Bridged graphs are cop-win graphs: an algorithmic proof
Journal of Combinatorial Theory Series B
Retracts of infinite hamming graphs
Journal of Combinatorial Theory Series B
A fixed box theorem for the cartesian product of graphs and metric spaces
Discrete Mathematics
Regular Article: Graphs of Some CAT(0) Complexes
Advances in Applied Mathematics
Dualizability and graph algebras
Discrete Mathematics
Decomposition and l1-embedding of weakly median graphs
European Journal of Combinatorics
On constructible graphs, infinite bridged graphs and weakly cop-win graphs
Discrete Mathematics
Fiber-complemented graphs — I: structure and invariant subgraphs
Discrete Mathematics
On the natural imprint function of a graph
European Journal of Combinatorics
Stable Networks and Product Graphs
Stable Networks and Product Graphs
Word Processing in Groups
Fiber-complemented graphs II. Retractions and endomorphisms
Discrete Mathematics
European Journal of Combinatorics
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We bring together algebraic concepts such as equational class and various concepts from graph theory for developing a structure theory for graphs that promotes a deeper analysis of their metric properties. The basic operators are Cartesian multiplication and gated amalgamation or, alternatively, retraction. Specifically, finite weakly median graphs are known to be decomposable (relative to these operators) into smaller pieces that in turn are parts of hyperoctahedra, the pentagonal pyramid, or of certain triangulations of the plane. This decomposition scheme can be interpreted as Birkhoff's subdirect representation in purely algebraic terms.