May 18 – 22, 2026
Virginia Tech
America/New_York timezone

Connected domination and the v-number of binomial edge ideals

May 18, 2026, 11:00 AM
25m
Goodwin Hall 135

Goodwin Hall 135

Minisymposium Talk Algebraic Invariants of Graphs Algebraic Invariants of Graphs

Speaker

Delio Jaramillo Velez (Virginia Tech)

Description

A connected dominating set of a graph is a vertex set that induces a connected subgraph and such that every vertex outside the set is adjacent to at least one vertex in the set. The minimum cardinality of a connected dominating set is called the connected domination number. We present an algebraic expression for this combinatorial invariant using the theory of binomial edge ideals.

Authors

Delio Jaramillo Velez (Virginia Tech) Dr Lisa Seccia (University of Neuchâtel)

Presentation materials

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