{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T02:51:24Z","timestamp":1722480684645},"reference-count":20,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2022,3,24]],"date-time":"2022-03-24T00:00:00Z","timestamp":1648080000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11801149"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"For a vertex v in a graph G, the open support of v under addition is the sum of degrees of all its neighbors. The open support of G under addition is the sum of open supports of all its vertices. The results for open support of graphs are deeply dependent on the structure property of the graph considered, such as its symmetry. In this paper, we generalize the concept of open support to hypergraphs. We give some examples and prove a general formula for open support of hypergraphs by using the adjacency and incidence matrices method.<\/jats:p>","DOI":"10.3390\/sym14040669","type":"journal-article","created":{"date-parts":[[2022,3,25]],"date-time":"2022-03-25T03:31:43Z","timestamp":1648179103000},"page":"669","source":"Crossref","is-referenced-by-count":2,"title":["Open Support of Hypergraphs under Addition"],"prefix":"10.3390","volume":"14","author":[{"given":"Shufei","family":"Wu","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China"}]},{"given":"Mengyuan","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"110","DOI":"10.14445\/22315373\/IJMTT-V65I5P516","article-title":"A note on open support of a graph under addition I","volume":"65","author":"Balamurugan","year":"2019","journal-title":"Int. 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Eng."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"32","DOI":"10.14445\/22315373\/IJMTT-V68I2P506","article-title":"New results on open support of graphs under addition","volume":"68","author":"Li","year":"2022","journal-title":"Int. J. Math. Trends Technol."},{"key":"ref_7","first-page":"130","article-title":"Open support of some special types of graphs under addition","volume":"156","author":"Jeyalakshmi","year":"2021","journal-title":"World Sci. News"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Ba\u010da, M., Hinding, N., Javed, A., and Semanixcxov\u00e1-Fe\u0148ovxcx\u00edkovxax, A. (2021). H-irregularity strengths of plane graphs. Symmetry, 13.","DOI":"10.3390\/sym13020229"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Ba\u010da, M., Kim\u00e1kovxax, Z., Lascs\u00e1kov\u00e1, M., and Semani\u010dov\u00e1-Fe\u0148ov\u010d\u00edkov\u00e1, A. (2021). The irregularity and modular irregularity strength of fan graphs. Symmetry, 13.","DOI":"10.3390\/sym13040605"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Gao, Z., Lau, G., and Shiu, W. (2021). Graphs with minimal strength. Symmetry, 13.","DOI":"10.3390\/sym13030513"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Shiu, W., and Lau, G. (2021). On SD-prime labelings of some one point unions of gears. Symmetry, 13.","DOI":"10.3390\/sym13050849"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"163403","DOI":"10.1007\/s11704-021-0415-8","article-title":"Full friendly index sets of mCn","volume":"16","author":"Ji","year":"2022","journal-title":"Front. Comput. Sci."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"857070","DOI":"10.1155\/2013\/857070","article-title":"Certain types of interval-valued fuzzy graphs","volume":"2013","author":"Akram","year":"2013","journal-title":"J. Appl. Math."},{"key":"ref_14","first-page":"363","article-title":"Domination in interval-valued fuzzy graphs","volume":"6","author":"Debnath","year":"2013","journal-title":"Ann. Fuzzy Math. Infor."},{"key":"ref_15","first-page":"87","article-title":"Octagonal graceful labeling of some special graphs","volume":"156","author":"Mahendran","year":"2021","journal-title":"World Sci. News"},{"key":"ref_16","first-page":"320","article-title":"Fibonacci sum labeling of tree related graphs","volume":"8","author":"Monika","year":"2019","journal-title":"Adalya J."},{"key":"ref_17","first-page":"210","article-title":"Extra skolem difference mean labeling of some graphs","volume":"145","author":"Sundari","year":"2020","journal-title":"World Sci. News"},{"key":"ref_18","first-page":"651","article-title":"Skolem difference mean labeling of some path related graphs","volume":"9","author":"Parmar","year":"2019","journal-title":"Pramana Res. J."},{"key":"ref_19","first-page":"382","article-title":"Super graceful labeling for some special graphs","volume":"9","author":"Perumal","year":"2011","journal-title":"Int. J. Innov. Res. Sci. Eng. Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"474","DOI":"10.14445\/22315373\/IJMTT-V52P568","article-title":"Near skolem difference mean labeling of special types of trees","volume":"52","author":"ShenbagaDevi","year":"2017","journal-title":"Int. J. Math. 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