DisCoMath Seminar: Graphs and Their Potent Energy Drinks
Discrete & Computational Math Seminar (DisCoMath)
Graphs and Their Potent Energy Drinks
Dr. Hossein Shahmohamad
Professor
School of Mathematical Sciences, RIT
Abstract:
Energy of a graph was defined by Gutman in 1978 and originates from theoretical chemistry. For an n-vertex graph G with adjacency matrix A having eigenvalues λ1≥λ2≥…≥λn, the energy E(G) is defined as the sum of absolute values of all eigenvalues, i.e., E(G)=∑ni=1|λi|. This is related to the total π-electron energy in a molecule represented by a graph. Origins of this topic are found in Hückel molecular orbital theory (HMO), π-electrons and their total energy Eπ, molecular orbital energy levels Ej, the HMO Hamiltonian operator. The term “energy” comes from quantum Chemistry. The study of graph energy is deeply related to modeling of spread of epidemics, properties of proteins, the search for the genetic causes of Alzheimer disease, and entropy. In this talk, we compile and summarize many of the recent discoveries and progress made on this topic.
Speaker Bio:
See bio here.
Intended Audience:
Undergraduates, graduates, and experts. Those with interest in the topic.
Keep up with DisCoMath Seminars on the DisCoMathS webpage.
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Event Snapshot
When and Where
Who
Open to the Public
Interpreter Requested?
No