Xie, Mengmeng; Zhou, Chuixiang Decomposing 10-regular graphs into paths of length 5. (English) Zbl 1502.05208 Discuss. Math., Graph Theory 42, No. 4, 1089-1097 (2022). Reviewer: Dalibor Fronček (Duluth) MSC: 05C70 05C38 05C12 PDFBibTeX XMLCite \textit{M. Xie} and \textit{C. Zhou}, Discuss. Math., Graph Theory 42, No. 4, 1089--1097 (2022; Zbl 1502.05208) Full Text: DOI
Bača, Martin; Ovais, Ali; Semaničová-Feňovčíková, Andrea; Suparta, I. Nengah On face irregular evaluations of plane graphs. (English) Zbl 1485.05035 Discuss. Math., Graph Theory 42, No. 2, 549-568 (2022). MSC: 05C10 05C78 PDFBibTeX XMLCite \textit{M. Bača} et al., Discuss. Math., Graph Theory 42, No. 2, 549--568 (2022; Zbl 1485.05035) Full Text: DOI
Li, Xihe; Wang, Ligong Gallai-Ramsey numbers for rainbow \(S_3^+\) and monochromatic paths. (English) Zbl 1491.05086 Discuss. Math., Graph Theory 42, No. 2, 349-362 (2022). Reviewer: Lorenz Halbeisen (Bern) MSC: 05C15 05C55 05D10 PDFBibTeX XMLCite \textit{X. Li} and \textit{L. Wang}, Discuss. Math., Graph Theory 42, No. 2, 349--362 (2022; Zbl 1491.05086) Full Text: DOI
Naeem, Muhammad; Siddiqui, Muhammad Kamran; Bača, Martin; Semaničová-Feňovčíková, Andrea; Ashraf, Faraha On edge \(H\)-irregularity strengths of some graphs. (English) Zbl 1468.05235 Discuss. Math., Graph Theory 41, No. 4, 949-961 (2021). MSC: 05C70 05C78 PDFBibTeX XMLCite \textit{M. Naeem} et al., Discuss. Math., Graph Theory 41, No. 4, 949--961 (2021; Zbl 1468.05235) Full Text: DOI
Shyu, Tay-Woei Decompositions of complete bipartite graphs and complete graphs into paths, stars, and cycles with four edges each. (English) Zbl 1458.05220 Discuss. Math., Graph Theory 41, No. 2, 451-468 (2021). MSC: 05C70 05C38 05C51 PDFBibTeX XMLCite \textit{T.-W. Shyu}, Discuss. Math., Graph Theory 41, No. 2, 451--468 (2021; Zbl 1458.05220) Full Text: DOI
Jayawardene, Chula J.; Narváez, David; Radziszowski, Stanisław Star-critical Ramsey numbers for cycles versus \(K_4\). (English) Zbl 1458.05163 Discuss. Math., Graph Theory 41, No. 2, 381-390 (2021). MSC: 05C55 05D10 05C38 PDFBibTeX XMLCite \textit{C. J. Jayawardene} et al., Discuss. Math., Graph Theory 41, No. 2, 381--390 (2021; Zbl 1458.05163) Full Text: DOI
Zheng, Wei; Wideł, Wojciech; Wang, Ligong On implicit heavy subgraphs and Hamiltonicity of 2-connected graphs. (English) Zbl 1453.05058 Discuss. Math., Graph Theory 41, No. 1, 167-181 (2021). MSC: 05C45 05C40 05C38 05C07 PDFBibTeX XMLCite \textit{W. Zheng} et al., Discuss. Math., Graph Theory 41, No. 1, 167--181 (2021; Zbl 1453.05058) Full Text: DOI
Dehgardi, Nasrin; Sheikholeslami, Seyed Mahmoud; Valinavaz, Mina; Aram, Hamideh; Volkmann, Lutz Domination number, independent domination number and 2-independence number in trees. (English) Zbl 1453.05089 Discuss. Math., Graph Theory 41, No. 1, 39-49 (2021). MSC: 05C69 05C05 05C35 PDFBibTeX XMLCite \textit{N. Dehgardi} et al., Discuss. Math., Graph Theory 41, No. 1, 39--49 (2021; Zbl 1453.05089) Full Text: DOI
Baudon, Olivier; Hocquard, Hervé; Marczyk, Antoni; Pilśniak, Monika; Przybyło, Jakub; Woźniak, Mariusz On a total version of 1-2-3 conjecture. (English) Zbl 1446.05028 Discuss. Math., Graph Theory 40, No. 4, 1175-1186 (2020). MSC: 05C15 PDFBibTeX XMLCite \textit{O. Baudon} et al., Discuss. Math., Graph Theory 40, No. 4, 1175--1186 (2020; Zbl 1446.05028) Full Text: DOI
Moradi, Ahmad; Mojdeh, Doost Ali; Sharifi, Omid Roman \(\{2\}\)-bondage number of a graph. (English) Zbl 1430.05089 Discuss. Math., Graph Theory 40, No. 1, 255-268 (2020). MSC: 05C69 68Q17 PDFBibTeX XMLCite \textit{A. Moradi} et al., Discuss. Math., Graph Theory 40, No. 1, 255--268 (2020; Zbl 1430.05089) Full Text: DOI
Amos, David; Asplund, John; Brimkov, Boris; Davila, Randy The Slater and sub-\(k\)-domination number of a graph with applications to domination and \(k\)-domination. (English) Zbl 1430.05086 Discuss. Math., Graph Theory 40, No. 1, 209-225 (2020). MSC: 05C69 PDFBibTeX XMLCite \textit{D. Amos} et al., Discuss. Math., Graph Theory 40, No. 1, 209--225 (2020; Zbl 1430.05086) Full Text: DOI arXiv
Hudry, Olivier; Lobstein, Antoine The compared costs of domination location-domination and identification. (English) Zbl 1498.05208 Discuss. Math., Graph Theory 40, No. 1, 127-147 (2020). Reviewer: Iztok Peterin (Maribor) MSC: 05C69 PDFBibTeX XMLCite \textit{O. Hudry} and \textit{A. Lobstein}, Discuss. Math., Graph Theory 40, No. 1, 127--147 (2020; Zbl 1498.05208) Full Text: DOI
Yu, Guidong; Fang, Yi; Fan, Yizheng; Cai, Gaixiang Spectral radius and Hamiltonicity of graphs. (English) Zbl 1415.05109 Discuss. Math., Graph Theory 39, No. 4, 951-974 (2019). MSC: 05C50 05C45 05C35 PDFBibTeX XMLCite \textit{G. Yu} et al., Discuss. Math., Graph Theory 39, No. 4, 951--974 (2019; Zbl 1415.05109) Full Text: DOI arXiv
Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh; Volkmann, Lutz; Liu, Xinmiao On the co-Roman domination in graphs. (English) Zbl 1404.05158 Discuss. Math., Graph Theory 39, No. 2, 455-472 (2019). MSC: 05C69 PDFBibTeX XMLCite \textit{Z. Shao} et al., Discuss. Math., Graph Theory 39, No. 2, 455--472 (2019; Zbl 1404.05158) Full Text: DOI
Aram, Hamideh; Atapour, Maryam; Sheikholeslami, Seyed Mahmoud Eternal \(m\)-security bondage numbers in graphs. (English) Zbl 1392.05085 Discuss. Math., Graph Theory 38, No. 4, 991-1006 (2018). MSC: 05C69 PDFBibTeX XMLCite \textit{H. Aram} et al., Discuss. Math., Graph Theory 38, No. 4, 991--1006 (2018; Zbl 1392.05085) Full Text: DOI
Ashraf, Faraha; Bača, Martin; Lascśaková, Marcela; Semaničová-Feňovčíková, Andrea On H-irregularity strength of graphs. (English) Zbl 1372.05185 Discuss. Math., Graph Theory 37, No. 4, 1067-1078 (2017). MSC: 05C78 05C70 PDFBibTeX XMLCite \textit{F. Ashraf} et al., Discuss. Math., Graph Theory 37, No. 4, 1067--1078 (2017; Zbl 1372.05185) Full Text: DOI
Anderson, S. E.; Guob, Y.; Tenney, A.; Wash, K. A. Prime factorization and domination in the hierarchical product of graphs. (English) Zbl 1375.05208 Discuss. Math., Graph Theory 37, No. 4, 873-890 (2017). MSC: 05C70 05C76 PDFBibTeX XMLCite \textit{S. E. Anderson} et al., Discuss. Math., Graph Theory 37, No. 4, 873--890 (2017; Zbl 1375.05208) Full Text: DOI
Akbari, Saieed; Haghi, Shahab; Maimani, Hamidreza; Seify, Abbas On double-star decomposition of graphs. (English) Zbl 1366.05070 Discuss. Math., Graph Theory 37, No. 3, 835-840 (2017). MSC: 05C51 05C05 PDFBibTeX XMLCite \textit{S. Akbari} et al., Discuss. Math., Graph Theory 37, No. 3, 835--840 (2017; Zbl 1366.05070) Full Text: DOI arXiv
Li, Binlong; Ning, Bo Heavy subgraphs, stability and Hamiltonicity. (English) Zbl 1366.05060 Discuss. Math., Graph Theory 37, No. 3, 691-710 (2017). MSC: 05C38 05C45 PDFBibTeX XMLCite \textit{B. Li} and \textit{B. Ning}, Discuss. Math., Graph Theory 37, No. 3, 691--710 (2017; Zbl 1366.05060) Full Text: DOI arXiv
Crane, Charles Brian Forbidden pairs and \((k,m)\)-pancyclicity. (English) Zbl 1366.05059 Discuss. Math., Graph Theory 37, No. 3, 649-663 (2017). MSC: 05C38 05C45 PDFBibTeX XMLCite \textit{C. B. Crane}, Discuss. Math., Graph Theory 37, No. 3, 649--663 (2017; Zbl 1366.05059) Full Text: DOI
Wide, Wojciech A triple of heavy subgraphs ensuring pancyclicity of 2-connected graphs. (English) Zbl 1359.05066 Discuss. Math., Graph Theory 37, No. 2, 477-499 (2017). MSC: 05C38 05C40 05C45 PDFBibTeX XMLCite \textit{W. Wide}, Discuss. Math., Graph Theory 37, No. 2, 477--499 (2017; Zbl 1359.05066) Full Text: DOI
Guo, Ji-Yun; Yin, Jian-Hua A constructive extension of the characterization on potentially \(K_{s,t}\)-bigraphic pairs. (English) Zbl 1354.05030 Discuss. Math., Graph Theory 37, No. 1, 251-259 (2017). MSC: 05C07 PDFBibTeX XMLCite \textit{J.-Y. Guo} and \textit{J.-H. Yin}, Discuss. Math., Graph Theory 37, No. 1, 251--259 (2017; Zbl 1354.05030) Full Text: DOI
Hexel, Erhard On the \(H\)-force number of Hamiltonian graphs and cycle extendability. (English) Zbl 1354.05078 Discuss. Math., Graph Theory 37, No. 1, 79-88 (2017). MSC: 05C45 PDFBibTeX XMLCite \textit{E. Hexel}, Discuss. Math., Graph Theory 37, No. 1, 79--88 (2017; Zbl 1354.05078) Full Text: DOI
Metelsky, Yury; Schemeleva, Kseniya; Werner, Frank A finite characterization and recognition of intersection graphs of hypergraphs with rank at most 3 and multiplicity at most 2 in the class of threshold graphs. (English) Zbl 1354.05094 Discuss. Math., Graph Theory 37, No. 1, 13-28 (2017). MSC: 05C62 05C75 05C70 05C65 05C85 68Q25 PDFBibTeX XMLCite \textit{Y. Metelsky} et al., Discuss. Math., Graph Theory 37, No. 1, 13--28 (2017; Zbl 1354.05094) Full Text: DOI
Rad, Nader Jafari On the complexity of reinforcement in graphs. (English) Zbl 1350.05126 Discuss. Math., Graph Theory 36, No. 4, 877-887 (2016). MSC: 05C69 68Q17 PDFBibTeX XMLCite \textit{N. J. Rad}, Discuss. Math., Graph Theory 36, No. 4, 877--887 (2016; Zbl 1350.05126) Full Text: DOI
Wideł, Wojciech A Fan-type heavy pair of subgraphs for pancyclicity of 2-connected graphs. (English) Zbl 1329.05167 Discuss. Math., Graph Theory 36, No. 1, 173-184 (2016). MSC: 05C38 05C45 PDFBibTeX XMLCite \textit{W. Wideł}, Discuss. Math., Graph Theory 36, No. 1, 173--184 (2016; Zbl 1329.05167) Full Text: DOI
Amjadi, Jafar; Mohammadi, Negar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz The \(k\)-rainbow bondage number of a digraph. (English) Zbl 1311.05142 Discuss. Math., Graph Theory 35, No. 2, 261-270 (2015). MSC: 05C69 05C20 05C15 PDFBibTeX XMLCite \textit{J. Amjadi} et al., Discuss. Math., Graph Theory 35, No. 2, 261--270 (2015; Zbl 1311.05142) Full Text: DOI
El-Zanati, Saad I.; Ermete, Marie; Hasty, James; Plantholt, Michael J.; Tipnis, Shailesh On decomposing regular graphs into isomorphic double-stars. (English) Zbl 1308.05089 Discuss. Math., Graph Theory 35, No. 1, 73-79 (2015). MSC: 05C70 05C51 05C05 PDFBibTeX XMLCite \textit{S. I. El-Zanati} et al., Discuss. Math., Graph Theory 35, No. 1, 73--79 (2015; Zbl 1308.05089) Full Text: DOI
Fabrici, Igor; Harant, Jochen; Jendrol’, Stanislav; Soták, Roman A note on vertex colorings of plane graphs. (English) Zbl 1303.05037 Discuss. Math., Graph Theory 34, No. 4, 849-855 (2014). MSC: 05C10 05C15 PDFBibTeX XMLCite \textit{I. Fabrici} et al., Discuss. Math., Graph Theory 34, No. 4, 849--855 (2014; Zbl 1303.05037) Full Text: DOI
Georges, John; Lin, Jianwei; Mauro, David The domination number of \(K_n^3\). (English) Zbl 1305.05175 Discuss. Math., Graph Theory 34, No. 3, 629-632 (2014). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{J. Georges} et al., Discuss. Math., Graph Theory 34, No. 3, 629--632 (2014; Zbl 1305.05175) Full Text: DOI
Andrews, Eric; Helenius, Laars; Johnston, Daniel; VerWys, Jonathon; Zhang, Ping On twin edge colorings of graphs. (English) Zbl 1305.05068 Discuss. Math., Graph Theory 34, No. 3, 613-627 (2014). MSC: 05C15 05C70 PDFBibTeX XMLCite \textit{E. Andrews} et al., Discuss. Math., Graph Theory 34, No. 3, 613--627 (2014; Zbl 1305.05068) Full Text: DOI
Jendrol, Stanislav; Šugerek, Peter A note on face coloring entire weightings of plane graphs. (English) Zbl 1290.05065 Discuss. Math., Graph Theory 34, No. 2, 421-426 (2014). MSC: 05C10 05C15 05C22 05C40 PDFBibTeX XMLCite \textit{S. Jendrol} and \textit{P. Šugerek}, Discuss. Math., Graph Theory 34, No. 2, 421--426 (2014; Zbl 1290.05065) Full Text: DOI
Halperin, Alexander; Magnant, Colton; Pula, Kyle A decomposition of Gallai multigraphs. (English) Zbl 1290.05075 Discuss. Math., Graph Theory 34, No. 2, 331-352 (2014). MSC: 05C15 05C38 05C55 PDFBibTeX XMLCite \textit{A. Halperin} et al., Discuss. Math., Graph Theory 34, No. 2, 331--352 (2014; Zbl 1290.05075) Full Text: DOI arXiv
Li, Binlong; Broersma, Hajo; Zhang, Shenggui Heavy subgraph pairs for traceability of block-chains. (English) Zbl 1290.05099 Discuss. Math., Graph Theory 34, No. 2, 287-307 (2014). MSC: 05C45 05C38 05C07 05C60 PDFBibTeX XMLCite \textit{B. Li} et al., Discuss. Math., Graph Theory 34, No. 2, 287--307 (2014; Zbl 1290.05099) Full Text: DOI