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Algebraic Structures and Graph Theory
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Interconnections between graph theory and algebraic structure theory have always led to innovative solutions to problems in both areas and new research topics in Mathematics and other scientific fields. This reprint aims to emphasize the new theoretical aspects and practical applications of these two research areas. It contains 18 articles selected for publication in the Special Issue "Algebraic Structures and Graph Theory," printed by the MDPI journal Mathematics. The topics addressed by the manuscripts within this reprint cover different aspects principally related to transformation semigroups, Gamma-semigroups, differential graded algebras, BL-algebras, hypergroups and hyperfields, Cayley graphs, graph energy, crossing number, Laplacian spectral radius, hypergraphs, t-graphs, and ideal-based dot total graphs.
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Keywords
- addition signed Cayley graph \({Σ_{n}^{∧}}\)
- automata
- automata theory
- binary linear block codes
- BL-algebra
- BL-code
- BL-function
- brauer configuration algebra
- bubble-sort graphs
- cayley graphs
- characteristic
- chromatic number
- Coding theory
- commutative rings
- configuration
- connected components
- crossing number
- Cycle
- derived categories
- diameter
- differential graded algebras
- distance Laplacian matrix
- dot total graph
- enumerative combinatorics
- equivalent hyperpaths
- extendability
- Finite groups
- finitely generated groups
- fundamental relation
- Galois extensions
- generalized reciprocal distance matrix
- geometric space
- Graph
- graph energy
- Graph theory
- hypercontinuity
- hyperfield
- hypergraph
- hypergroup
- hypergroups
- hyperpath
- hypertree
- ideal-based
- join product
- knot
- lattice path models
- left tri-ideal
- M-left-tri-basis
- M-right-tri-basis
- magma
- magnifying elements
- Mathematics & science
- n/a
- Order
- parity properties
- partial order
- path
- path algebra
- poset
- positive cone
- quantum groups at roots of unity
- quasi-automata
- quasi-multiautomata
- quasi-order
- reciprocal distance signless Laplacian matrix
- Reference, information & interdisciplinary subjects
- regular elements
- Research & information: general
- right tri-ideal
- semiautomata
- Social systems
- spectral radius
- star graphs
- state machines
- subgraph
- t-graph
- tensor product decomposition
- trace norm
- transformation semigroups
- transposition trees
- wild representation type
- zero-divisor graph
- zero-divisors
Links
DOI: 10.3390/books978-3-0365-8441-6Editions