Algebraic Structures and Graph Theory
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 tw...
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| Materialtyp: | Online |
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| Språk: | engelska |
| Utgiven: |
MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Ämnen: | |
| Länkar: | ONIX_20230911_9783036584409_26 |
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| _version_ | 1869531599228370944 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-113893 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1138932024-03-28T03:32:32Z Algebraic Structures and Graph Theory Cristea, Irina Bordbar, Hashem brauer configuration algebra graph energy path algebra poset spectral radius trace norm wild representation type commutative rings zero-divisor graph dot total graph ideal-based zero-divisors automata theory hypergroups quasi-automata quasi-multiautomata semiautomata hypergraph hyperpath hypertree knot hypercontinuity equivalent hyperpaths BL-function BL-code binary linear block codes coding theory BL-algebra distance Laplacian matrix diameter extendability cayley graphs transposition trees bubble-sort graphs star graphs graph join product crossing number configuration parity properties path cycle hypergroup magma state machines automata generalized reciprocal distance matrix reciprocal distance signless Laplacian matrix finitely generated groups finite groups t-graph subgraph connected components chromatic number addition signed Cayley graph \({Σ_{n}^{∧}}\) lattice path models enumerative combinatorics quantum groups at roots of unity tensor product decomposition graph theory fundamental relation social systems geometric space differential graded algebras derived categories Galois extensions hyperfield positive cone order characteristic left tri-ideal right tri-ideal M-left-tri-basis M-right-tri-basis quasi-order partial order regular elements magnifying elements transformation semigroups n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2023-09-11T11:55:03Z 2023-09-11T11:55:03Z 2023 book ONIX_20230911_9783036584409_26 9783036584409 9783036584416 https://directory.doabooks.org/handle/20.500.12854/113893 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/7734 https://mdpi.com/books/pdfview/book/7734 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-8441-6 10.3390/books978-3-0365-8441-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036584409 9783036584416 280 open access |
| spellingShingle | brauer configuration algebra graph energy path algebra poset spectral radius trace norm wild representation type commutative rings zero-divisor graph dot total graph ideal-based zero-divisors automata theory hypergroups quasi-automata quasi-multiautomata semiautomata hypergraph hyperpath hypertree knot hypercontinuity equivalent hyperpaths BL-function BL-code binary linear block codes coding theory BL-algebra distance Laplacian matrix diameter extendability cayley graphs transposition trees bubble-sort graphs star graphs graph join product crossing number configuration parity properties path cycle hypergroup magma state machines automata generalized reciprocal distance matrix reciprocal distance signless Laplacian matrix finitely generated groups finite groups t-graph subgraph connected components chromatic number addition signed Cayley graph \({Σ_{n}^{∧}}\) lattice path models enumerative combinatorics quantum groups at roots of unity tensor product decomposition graph theory fundamental relation social systems geometric space differential graded algebras derived categories Galois extensions hyperfield positive cone order characteristic left tri-ideal right tri-ideal M-left-tri-basis M-right-tri-basis quasi-order partial order regular elements magnifying elements transformation semigroups n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Algebraic Structures and Graph Theory |
| title | Algebraic Structures and Graph Theory |
| title_full | Algebraic Structures and Graph Theory |
| title_fullStr | Algebraic Structures and Graph Theory |
| title_full_unstemmed | Algebraic Structures and Graph Theory |
| title_short | Algebraic Structures and Graph Theory |
| title_sort | algebraic structures and graph theory |
| topic | brauer configuration algebra graph energy path algebra poset spectral radius trace norm wild representation type commutative rings zero-divisor graph dot total graph ideal-based zero-divisors automata theory hypergroups quasi-automata quasi-multiautomata semiautomata hypergraph hyperpath hypertree knot hypercontinuity equivalent hyperpaths BL-function BL-code binary linear block codes coding theory BL-algebra distance Laplacian matrix diameter extendability cayley graphs transposition trees bubble-sort graphs star graphs graph join product crossing number configuration parity properties path cycle hypergroup magma state machines automata generalized reciprocal distance matrix reciprocal distance signless Laplacian matrix finitely generated groups finite groups t-graph subgraph connected components chromatic number addition signed Cayley graph \({Σ_{n}^{∧}}\) lattice path models enumerative combinatorics quantum groups at roots of unity tensor product decomposition graph theory fundamental relation social systems geometric space differential graded algebras derived categories Galois extensions hyperfield positive cone order characteristic left tri-ideal right tri-ideal M-left-tri-basis M-right-tri-basis quasi-order partial order regular elements magnifying elements transformation semigroups n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | brauer configuration algebra graph energy path algebra poset spectral radius trace norm wild representation type commutative rings zero-divisor graph dot total graph ideal-based zero-divisors automata theory hypergroups quasi-automata quasi-multiautomata semiautomata hypergraph hyperpath hypertree knot hypercontinuity equivalent hyperpaths BL-function BL-code binary linear block codes coding theory BL-algebra distance Laplacian matrix diameter extendability cayley graphs transposition trees bubble-sort graphs star graphs graph join product crossing number configuration parity properties path cycle hypergroup magma state machines automata generalized reciprocal distance matrix reciprocal distance signless Laplacian matrix finitely generated groups finite groups t-graph subgraph connected components chromatic number addition signed Cayley graph \({Σ_{n}^{∧}}\) lattice path models enumerative combinatorics quantum groups at roots of unity tensor product decomposition graph theory fundamental relation social systems geometric space differential graded algebras derived categories Galois extensions hyperfield positive cone order characteristic left tri-ideal right tri-ideal M-left-tri-basis M-right-tri-basis quasi-order partial order regular elements magnifying elements transformation semigroups n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20230911_9783036584409_26 |