Geodesic
Complete forcing numbers of catacondensed phenylene systems
Filomat, Tome 37 (2023) no. 24, p. 8309

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DOI

Combining "forcing" and "global" idea, Xu et al. proposed the concepts: complete forcing set and complete forcing number of perfect matchings of graph. In this paper, we give explicit formulae for the complete forcing numbers of phenylene chains and catacondensed phenylene systems, respectively. Moreover, we present an algorithm to find the minimum complete forcing sets of these graphs.
DOI : 10.2298/FIL2324309W
Classification : 05C70, 05C70
Keywords: Perfect matching, complete forcing set, complete forcing number, phenylene chain 
Lina Wei; Hong Bian; Haizheng Yu; Guocan Lin. Complete forcing numbers of catacondensed phenylene systems. Filomat, Tome 37 (2023) no. 24, p. 8309 . doi: 10.2298/FIL2324309W
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     title = {Complete forcing numbers of catacondensed phenylene systems},
     journal = {Filomat},
     pages = {8309 },
     year = {2023},
     volume = {37},
     number = {24},
     doi = {10.2298/FIL2324309W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324309W/}
}
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