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Everything about Multiplicative graph
Type of partial category
In mathematics, a multiplicative graph is an algebraic structure in category theory. It is a generalization of an ordinary category in the sense that neither the associativity of arrow composition nor the composibility of a pair of connected arrows are assumed. While an ordinary category is a notion combining a directed graph and a monoidal structure, a multiplicative graph is a partial magma-like structure. Namely, it is a structure in one‑to‑one correspondence with the vertices of a directed graph, and each object has left and right identity morphisms, but composability is partial, and, moreover, associativity is not required. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multiplicative graphA 5-minute orientation
- Skim a recent paper: Two different approaches for consistency of intuitionistic multiplicative preference relation using directed graphInfluential work since 2022
- Pick up a classic book: Decision Making in the Manufacturing EnvironmentThe most-reprinted book on the subject
- Read the landmark paper: Multiplicative Attribute Graph Model of Real-World NetworksCited 96 times
- Go sideways: Envelope (category theory)A closely related topic
- Go sideways: Normal basisA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Multiplicative Attribute Graph Model of Real-World Networks
The multiplicative Zagreb indices of graph operations
Some inequalities for the multiplicative sum Zagreb index of graph operations
Multiplicative central measures on the Schur graph
Russell Graph efficiency measures in Data Envelopment Analysis: The multiplicative approach
Multiplicative Version of First Zagreb Index in Fuzzy Graph and its Application in Crime Analysis
Constrained multiplicative graph cuts based active contour model for magnetic resonance brain image series segmentation
Graph matching based on fast normalized cut and multiplicative update mapping
🆕 Influential since 2022
Two different approaches for consistency of intuitionistic multiplicative preference relation using directed graph
Several graph properties in terms of the multiplicative version of the first Zagreb index
Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond
Strongly Multiplicative Labeling of Diamond Graph, Generalized Petersen Graph, and Some Other Graphs
Exploring modular multiplicative divisor labeling to expand graph families
📚 Books worth reading
Decision Making in the Manufacturing EnvironmentR. Venkata Rao · 2007- 📕Contributions of Mexican Mathematicians Abroad in Pure and Applied MathematicsFernando Galaz-Garcia, Juan Carlos Pardo · 2018
Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston MaAlgebraic and · 2013- 📕Topics in Hyperplane ArrangementsMarcelo Aguiar, Swapneel Mahajan · 2017
Feynman amplitudes, periods, and motivesLuis Álvarez-Cónsul, Kurusch Ebrahimi-Fard · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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