Bruhn, Henning; Joos, Felix A stronger bound for the strong chromatic index. (English) Zbl 1378.05047 Comb. Probab. Comput. 27, No. 1, 21-43 (2018). MSC: 05C15 PDF BibTeX XML Cite \textit{H. Bruhn} and \textit{F. Joos}, Comb. Probab. Comput. 27, No. 1, 21--43 (2018; Zbl 1378.05047) Full Text: DOI arXiv
Baudon, Olivier; Pilśniak, Monika; Przybyło, Jakub; Senhaji, Mohammed; Sopena, Éric; Woźniak, Mariusz Equitable neighbour-sum-distinguishing edge and total colourings. (English) Zbl 1396.05037 Discrete Appl. Math. 222, 40-53 (2017). MSC: 05C15 PDF BibTeX XML Cite \textit{O. Baudon} et al., Discrete Appl. Math. 222, 40--53 (2017; Zbl 1396.05037) Full Text: DOI
Bača, Martin; Jendrol’, Stanislav Colourings of graphs by labellings. (English) Zbl 1377.05162 Arumugam, S. (ed.) et al., Proceedings of the 9th international workshop on graph labelings (IWOGL 2016), Cracow, Poland, July 7–9, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 60, 25-31 (2017). MSC: 05C78 05C15 PDF BibTeX XML Cite \textit{M. Bača} and \textit{S. Jendrol'}, Electron. Notes Discrete Math. 60, 25--31 (2017; Zbl 1377.05162) Full Text: DOI
Broere, Izak; Semanišin, Gabriel Some bounds on the generalised total chromatic number of degenerate graphs. (English) Zbl 1422.05041 Inf. Process. Lett. 122, 30-33 (2017). MSC: 05C15 PDF BibTeX XML Cite \textit{I. Broere} and \textit{G. Semanišin}, Inf. Process. Lett. 122, 30--33 (2017; Zbl 1422.05041) Full Text: DOI
Luiz, Atílio G.; Campos, C. N.; de Mello, C. P. AVD-total-chromatic number of some families of graphs with \(\Delta(G) = 3\). (English) Zbl 1358.05111 Discrete Appl. Math. 217, Part 3, 628-638 (2017). MSC: 05C15 05C07 05C35 PDF BibTeX XML Cite \textit{A. G. Luiz} et al., Discrete Appl. Math. 217, Part 3, 628--638 (2017; Zbl 1358.05111) Full Text: DOI
Fabrici, Igor; Jendrol’, Stanislav; Voigt, Margit Facial list colourings of plane graphs. (English) Zbl 1339.05130 Discrete Math. 339, No. 11, 2826-2831 (2016). MSC: 05C15 05C10 05C40 PDF BibTeX XML Cite \textit{I. Fabrici} et al., Discrete Math. 339, No. 11, 2826--2831 (2016; Zbl 1339.05130) Full Text: DOI
Borowiecki, Mieczysław; Broere, Izak Hamiltonicity and generalised total colourings of planar graphs. (English) Zbl 1338.05076 Discuss. Math., Graph Theory 36, No. 2, 243-257 (2016). MSC: 05C15 PDF BibTeX XML Cite \textit{M. Borowiecki} and \textit{I. Broere}, Discuss. Math., Graph Theory 36, No. 2, 243--257 (2016; Zbl 1338.05076) Full Text: DOI
Bruhn, Henning; Lang, Richard; Stein, Maya List edge-coloring and total coloring in graphs of low treewidth. (English) Zbl 1339.05114 J. Graph Theory 81, No. 3, 272-282 (2016). Reviewer: Baoyindureng Wu (Urumqi) MSC: 05C15 05C12 05C05 05C07 05C35 PDF BibTeX XML Cite \textit{H. Bruhn} et al., J. Graph Theory 81, No. 3, 272--282 (2016; Zbl 1339.05114) Full Text: DOI
Przybyło, Jakub Neighbour sum distinguishing total colourings via the combinatorial nullstellensatz. (English) Zbl 1330.05074 Discrete Appl. Math. 202, 163-173 (2016). MSC: 05C15 PDF BibTeX XML Cite \textit{J. Przybyło}, Discrete Appl. Math. 202, 163--173 (2016; Zbl 1330.05074) Full Text: DOI
Luiz, Atílio G.; Campos, C. N.; de Mello, C. P. AVD-total-colouring of complete equipartite graphs. (English) Zbl 1310.05096 Discrete Appl. Math. 184, 189-195 (2015). MSC: 05C15 PDF BibTeX XML Cite \textit{A. G. Luiz} et al., Discrete Appl. Math. 184, 189--195 (2015; Zbl 1310.05096) Full Text: DOI
Schreyer, Jens; Škrabul’áková, Erika Total Thue colourings of graphs. (English) Zbl 1310.05098 Eur. J. Math. 1, No. 1, 186-197 (2015). MSC: 05C15 05C55 05D40 05C35 05C07 PDF BibTeX XML Cite \textit{J. Schreyer} and \textit{E. Škrabul'áková}, Eur. J. Math. 1, No. 1, 186--197 (2015; Zbl 1310.05098) Full Text: DOI arXiv
Chen, Xiang’en; Gao, Yuping; Yao, Bing Not necessarily proper total colourings which are adjacent vertex distinguishing. (English) Zbl 1280.05039 Int. J. Comput. Math. 90, No. 11, 2298-2307 (2013). MSC: 05C15 PDF BibTeX XML Cite \textit{X. Chen} et al., Int. J. Comput. Math. 90, No. 11, 2298--2307 (2013; Zbl 1280.05039) Full Text: DOI
Przybyło, Jakub Distant irregularity strength of graphs. (English) Zbl 1281.05058 Discrete Math. 313, No. 24, 2875-2880 (2013). MSC: 05C12 05C15 PDF BibTeX XML Cite \textit{J. Przybyło}, Discrete Math. 313, No. 24, 2875--2880 (2013; Zbl 1281.05058) Full Text: DOI
Machado, Raphael C. S.; de Figueiredo, Celina M. H.; Trotignon, Nicolas Edge-colouring and total-colouring chordless graphs. (English) Zbl 1408.05063 Discrete Math. 313, No. 14, 1547-1552 (2013). MSC: 05C15 05C70 05C85 68W40 PDF BibTeX XML Cite \textit{R. C. S. Machado} et al., Discrete Math. 313, No. 14, 1547--1552 (2013; Zbl 1408.05063) Full Text: DOI arXiv
Bessy, S.; Havet, F. Enumerating the edge-colourings and total colourings of a regular graph. (English) Zbl 1271.05050 J. Comb. Optim. 25, No. 4, 523-535 (2013). MSC: 05C30 05C15 05C35 PDF BibTeX XML Cite \textit{S. Bessy} and \textit{F. Havet}, J. Comb. Optim. 25, No. 4, 523--535 (2013; Zbl 1271.05050) Full Text: DOI
Araujo, J.; Bermond, J-C.; Giroire, F.; Havet, F.; Mazauric, D.; Modrzejewski, R. Weighted improper colouring. (English) Zbl 1257.05035 J. Discrete Algorithms 16, 53-66 (2012). MSC: 05C15 68R10 68M10 05C90 94A12 90B80 PDF BibTeX XML Cite \textit{J. Araujo} et al., J. Discrete Algorithms 16, 53--66 (2012; Zbl 1257.05035) Full Text: DOI
Marangio, Massimiliano Colorings of distance graphs. (Färbungen von Distanzgraphen.) (German) Zbl 1256.05074 Göttingen: Cuvillier; Braunschweig: TU Braunschweig (Diss.) (ISBN 978-3-95404-156-5/pbk). 114 p. (2012). MSC: 05C15 05C12 05-02 PDF BibTeX XML Cite \textit{M. Marangio}, Färbungen von Distanzgraphen. Göttingen: Cuvillier; Braunschweig: TU Braunschweig (Diss.) (2012; Zbl 1256.05074)
Hetherington, Timothy J. List total arboricity of 2-degenerate graphs. (English) Zbl 1251.05060 Appl. Math. Lett. 25, No. 12, 2018-2022 (2012). MSC: 05C15 05C83 05C10 PDF BibTeX XML Cite \textit{T. J. Hetherington}, Appl. Math. Lett. 25, No. 12, 2018--2022 (2012; Zbl 1251.05060) Full Text: DOI
Coker, Tom; Johannson, Karen The adjacent vertex distinguishing total chromatic number. (English) Zbl 1245.05042 Discrete Math. 312, No. 17, 2741-2750 (2012). MSC: 05C15 PDF BibTeX XML Cite \textit{T. Coker} and \textit{K. Johannson}, Discrete Math. 312, No. 17, 2741--2750 (2012; Zbl 1245.05042) Full Text: DOI arXiv
Campos, C. N.; De Figueiredo, C. H.; Machado, R.; De Mello, C. P. The total chromatic number of split-indifference graphs. (English) Zbl 1246.05054 Discrete Math. 312, No. 17, 2690-2693 (2012). MSC: 05C15 PDF BibTeX XML Cite \textit{C. N. Campos} et al., Discrete Math. 312, No. 17, 2690--2693 (2012; Zbl 1246.05054) Full Text: DOI
Skowronek-Kaziów, Joanna Multiplicative vertex-colouring weightings of graphs. (English) Zbl 1239.05085 Inf. Process. Lett. 112, No. 5, 191-194 (2012). MSC: 05C22 05C15 05C85 PDF BibTeX XML Cite \textit{J. Skowronek-Kaziów}, Inf. Process. Lett. 112, No. 5, 191--194 (2012; Zbl 1239.05085) Full Text: DOI
Vijayalakshmi, D.; Thilagavathi, Dr. K.; Roopesh, N. A note on \(b\)-chromatic number of star graph families. (English) Zbl 1412.05078 Bull. Pure Appl. Sci. E, Math. Stat. 30, No. 1, 19-24 (2011). MSC: 05C15 PDF BibTeX XML Cite \textit{D. Vijayalakshmi} et al., Bull. Pure Appl. Sci. E, Math. Stat. 30, No. 1, 19--24 (2011; Zbl 1412.05078)
Machado, Raphael; de Figueiredo, Celina Complexity separating classes for edge-colouring and total-colouring. (English) Zbl 1275.68074 J. Braz. Comput. Soc. 17, No. 4, 281-285 (2011). MSC: 68Q17 05C15 PDF BibTeX XML Cite \textit{R. Machado} and \textit{C. de Figueiredo}, J. Braz. Comput. Soc. 17, No. 4, 281--285 (2011; Zbl 1275.68074) Full Text: DOI
Kaiser, Tomáš; King, Andrew; Král’, Daniel Fractional total colourings of graphs of high girth. (English) Zbl 1234.05091 J. Comb. Theory, Ser. B 101, No. 6, 383-402 (2011). MSC: 05C15 PDF BibTeX XML Cite \textit{T. Kaiser} et al., J. Comb. Theory, Ser. B 101, No. 6, 383--402 (2011; Zbl 1234.05091) Full Text: DOI
Machado, R. C. S.; de Figueiredo, C. M. H. Total chromatic number of unichord-free graphs. (English) Zbl 1228.05157 Discrete Appl. Math. 159, No. 16, 1851-1864 (2011). MSC: 05C15 05C35 05C38 PDF BibTeX XML Cite \textit{R. C. S. Machado} and \textit{C. M. H. de Figueiredo}, Discrete Appl. Math. 159, No. 16, 1851--1864 (2011; Zbl 1228.05157) Full Text: DOI
Li, Rui; Xu, Baogang Edge choosability and total choosability of planar graphs with no 3-cycles adjacent 4-cycles. (English) Zbl 1245.05050 Discrete Math. 311, No. 20, 2158-2163 (2011). Reviewer: Ulrike Baumann (Dresden) MSC: 05C15 PDF BibTeX XML Cite \textit{R. Li} and \textit{B. Xu}, Discrete Math. 311, No. 20, 2158--2163 (2011; Zbl 1245.05050) Full Text: DOI
Przybyło, Jakub; Woźniak, Mariusz Total weight choosability of graphs. (English) Zbl 1217.05202 Electron. J. Comb. 18, No. 1, Research Paper P112, 11 p. (2011). MSC: 05C78 PDF BibTeX XML Cite \textit{J. Przybyło} and \textit{M. Woźniak}, Electron. J. Comb. 18, No. 1, Research Paper P112, 11 p. (2011; Zbl 1217.05202) Full Text: EMIS EuDML
Campos, C. N.; Dantas, S.; de Mello, C. P. The total-chromatic number of some families of snarks. (English) Zbl 1222.05049 Discrete Math. 311, No. 12, 984-988 (2011). MSC: 05C15 05C75 PDF BibTeX XML Cite \textit{C. N. Campos} et al., Discrete Math. 311, No. 12, 984--988 (2011; Zbl 1222.05049) Full Text: DOI
Machado, R. C. S.; De Figueiredo, C. M. H. Total chromatic number of {square,unichord}-free graphs. (English) Zbl 1236.05084 Haouari, M. (ed.) et al., ISCO 2010. International symposium on combinatorial optimization. Papers based on the presentations at the symposium, Hammamet, Tunesia, March 24–26, 2010. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 36, 671-678 (2010). MSC: 05C15 PDF BibTeX XML Cite \textit{R. C. S. Machado} and \textit{C. M. H. De Figueiredo}, Electron. Notes Discrete Math. 36, 671--678 (2010; Zbl 1236.05084) Full Text: DOI
Chao, Fugang; Zhang, Zhongfu; Qiang, Huiying An upper bound on the adjacent distinguishing total chromatic number. (Chinese. English summary) Zbl 1224.05163 Pure Appl. Math. 26, No. 1, 91-95, 163 (2010). MSC: 05C15 PDF BibTeX XML Cite \textit{F. Chao} et al., Pure Appl. Math. 26, No. 1, 91--95, 163 (2010; Zbl 1224.05163) Full Text: EuDML
Yan, Qiantai The general neighbor-distinguishing total coloring of graphs. (Chinese. English summary) Zbl 1224.05198 J. Syst. Sci. Math. Sci. 30, No. 1, 101-106 (2010). MSC: 05C15 PDF BibTeX XML Cite \textit{Q. Yan}, J. Syst. Sci. Math. Sci. 30, No. 1, 101--106 (2010; Zbl 1224.05198)
Brandt, Stephan; Budajová, Kristína; Rautenbach, Dieter; Stiebitz, Michael Edge colouring by total labellings. (English) Zbl 1283.05082 Discrete Math. 310, No. 2, 199-205 (2010). MSC: 05C15 05C78 PDF BibTeX XML Cite \textit{S. Brandt} et al., Discrete Math. 310, No. 2, 199--205 (2010; Zbl 1283.05082) Full Text: DOI
Ito, Takehiro; Kennedy, W. Sean; Reed, Bruce A. A characterization of graphs with fractional total chromatic number equal to \(\Delta +2\). (English) Zbl 1268.05075 Liebling, Thomas M. (ed.) et al., LAGOS’09 – V Latin-American algorithms, graphs, and optimization symposium. Papers from the symposium, Gramado, Brazil, November 3–7, 2009. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 35, 235-240 (2009). MSC: 05C15 PDF BibTeX XML Cite \textit{T. Ito} et al., Electron. Notes Discrete Math. 35, 235--240 (2009; Zbl 1268.05075) Full Text: DOI
Wang, Haiying The adjacent vertex-distinguishing total chromatic number of 1-tree. (English) Zbl 1224.05191 Ars Comb. 91, 183-192 (2009). MSC: 05C15 05C05 PDF BibTeX XML Cite \textit{H. Wang}, Ars Comb. 91, 183--192 (2009; Zbl 1224.05191)
Jendrol’, Stanislav Total labellings, irregularity strengths and colourings. (English) Zbl 1210.05041 AKCE Int. J. Graphs Comb. 6, No. 1, 219-227 (2009). MSC: 05C15 05C78 PDF BibTeX XML Cite \textit{S. Jendrol'}, AKCE Int. J. Graphs Comb. 6, No. 1, 219--227 (2009; Zbl 1210.05041)
Havet, Frédéric; Thomassé, Stéphan Complexity of (p,1)-total labelling. (English) Zbl 1209.05212 Discrete Appl. Math. 157, No. 13, 2859-2870 (2009). MSC: 05C78 05C15 PDF BibTeX XML Cite \textit{F. Havet} and \textit{S. Thomassé}, Discrete Appl. Math. 157, No. 13, 2859--2870 (2009; Zbl 1209.05212) Full Text: DOI
Zhang, Zhongfu; Qiu, Pengxiang; Xu, Baogen; Li, Jingwen; Chen, Xiangen; Yao, Bing Vertex-distinguishing total coloring of graphs. (English) Zbl 1224.05203 Ars Comb. 87, 33-45 (2008). MSC: 05C15 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Ars Comb. 87, 33--45 (2008; Zbl 1224.05203)
Skowronek-Kaziów, Joanna 1,2 conjecture-the multiplicative version. (English) Zbl 1185.05066 Inf. Process. Lett. 107, No. 3-4, 93-95 (2008). MSC: 05C15 68W05 PDF BibTeX XML Cite \textit{J. Skowronek-Kaziów}, Inf. Process. Lett. 107, No. 3--4, 93--95 (2008; Zbl 1185.05066) Full Text: DOI
Khennoufa, Riadh; Togni, Olivier Total and fractional total colourings of circulant graphs. (English) Zbl 1223.05074 Discrete Math. 308, No. 24, 6316-6329 (2008). MSC: 05C15 PDF BibTeX XML Cite \textit{R. Khennoufa} and \textit{O. Togni}, Discrete Math. 308, No. 24, 6316--6329 (2008; Zbl 1223.05074) Full Text: DOI
Meagher, Conor; Reed, Bruce Fractionally total colouring \(G_{n,p}\). (English) Zbl 1143.05030 Discrete Appl. Math. 156, No. 7, 1112-1124 (2008). Reviewer: Saul Stahl (Lawrence) MSC: 05C15 05C80 PDF BibTeX XML Cite \textit{C. Meagher} and \textit{B. Reed}, Discrete Appl. Math. 156, No. 7, 1112--1124 (2008; Zbl 1143.05030) Full Text: DOI
Williams, Jini; Holroyd, Fred Semi-total graph colourings, the beta parameter, and total chromatic number. (English) Zbl 1137.05036 Discrete Math. 308, No. 5-6, 940-954 (2008). Reviewer: Jozef Fiamčik (Prešov) MSC: 05C15 PDF BibTeX XML Cite \textit{J. Williams} and \textit{F. Holroyd}, Discrete Math. 308, No. 5--6, 940--954 (2008; Zbl 1137.05036) Full Text: DOI
Salvador Villà, Marta; Schiermeyer, Ingo \([r,s,t]\)-colourings of paths. (English) Zbl 1146.05026 Opusc. Math. 27, No. 1, 131-149 (2007). MSC: 05C15 05C38 PDF BibTeX XML Cite \textit{M. Salvador Villà} and \textit{I. Schiermeyer}, Opusc. Math. 27, No. 1, 131--149 (2007; Zbl 1146.05026)
Woodall, Douglas R. Some totally 4-choosable multigraphs. (English) Zbl 1142.05031 Discuss. Math., Graph Theory 27, No. 3, 425-455 (2007). MSC: 05C15 05C35 PDF BibTeX XML Cite \textit{D. R. Woodall}, Discuss. Math., Graph Theory 27, No. 3, 425--455 (2007; Zbl 1142.05031) Full Text: DOI
Zhao, Chuancheng; Liu, Jun; Ren, Zhiguo; Bao, Shitang; Zhang, Zhongfu On the vertex-distinguishing total coloring of \(P_m\vee F_n\). (English) Zbl 1153.05029 Int. J. Pure Appl. Math. 37, No. 4, 523-529 (2007). MSC: 05C15 68R10 PDF BibTeX XML Cite \textit{C. Zhao} et al., Int. J. Pure Appl. Math. 37, No. 4, 523--529 (2007; Zbl 1153.05029)
Campos, C. N.; de Mello, C. P. A result on the total colouring of powers of cycles. (English) Zbl 1124.05031 Discrete Appl. Math. 155, No. 5, 585-597 (2007). Reviewer: Lai Chunhui (Zhangzhou) MSC: 05C15 05C38 PDF BibTeX XML Cite \textit{C. N. Campos} and \textit{C. P. de Mello}, Discrete Appl. Math. 155, No. 5, 585--597 (2007; Zbl 1124.05031) Full Text: DOI
Hetherington, Timothy J.; Woodall, Douglas R. Edge and total choosability of near-outerplanar graphs. (English) Zbl 1115.05032 Electron. J. Comb. 13, No. 1, Research paper R98, 7 p. (2006). MSC: 05C15 PDF BibTeX XML Cite \textit{T. J. Hetherington} and \textit{D. R. Woodall}, Electron. J. Comb. 13, No. 1, Research paper R98, 7 p. (2006; Zbl 1115.05032) Full Text: EMIS EuDML
Li, Muchun; Qiang, Huiying; Zhang, Zhongfu About the coloring properties of \(W_m\) general Mycielski graph. (English) Zbl 1101.05032 Int. J. Pure Appl. Math. 27, No. 2, 215-220 (2006). Reviewer: Jozef Fiamčik (Prešov) MSC: 05C15 PDF BibTeX XML Cite \textit{M. Li} et al., Int. J. Pure Appl. Math. 27, No. 2, 215--220 (2006; Zbl 1101.05032)
Campos, C. N.; De Mello, C. P. The total chromatic number of some bipartite graphs. (English) Zbl 1200.05075 Raspaud, André (ed.) et al., 7th international colloquium on graph theory, Hyeres, France, September 12–16, 2005. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 22, 557-561 (2005). MSC: 05C15 PDF BibTeX XML Cite \textit{C. N. Campos} and \textit{C. P. De Mello}, Electron. Notes Discrete Math. 22, 557--561 (2005; Zbl 1200.05075) Full Text: DOI
Chen, Xiangen; Zhang, Zhongfu; Yan, Jingzhi; Zhang, Guicang Adjacent-vertex-distinguishing total chromatic numbers on Mycielski’s graphs on several kinds of particular graphs. (English) Zbl 1087.05022 J. Lanzhou Univ., Nat. Sci. 41, No. 2, 117-122 (2005). Reviewer: Jozef Fiamčik (Prešov) MSC: 05C15 PDF BibTeX XML Cite \textit{X. Chen} et al., J. Lanzhou Univ., Nat. Sci. 41, No. 2, 117--122 (2005; Zbl 1087.05022)
Xie, Dezheng; He, Zhongshi The total chromatic number of regular graphs of even order and high degree. (English) Zbl 1074.05039 Discrete Math. 300, No. 1-3, 196-212 (2005). MSC: 05C15 PDF BibTeX XML Cite \textit{D. Xie} and \textit{Z. He}, Discrete Math. 300, No. 1--3, 196--212 (2005; Zbl 1074.05039) Full Text: DOI
Chen, Xiangen; Zhang, Zhongfu; Sun, Yirong Adjacent-vertex-distinguishing total chromatic numbers on mono-cycle graphs and the square of cycles. (English) Zbl 1068.05023 Int. J. Pure Appl. Math. 18, No. 4, 481-491 (2005). Reviewer: Jozef Fiamčik (Prešov) MSC: 05C15 PDF BibTeX XML Cite \textit{X. Chen} et al., Int. J. Pure Appl. Math. 18, No. 4, 481--491 (2005; Zbl 1068.05023)
Hilton, A. J. W.; Liu, Jiping; Zhao, Cheng The total chromatic numbers of joins of sparse graphs. (English) Zbl 1031.05049 Australas. J. Comb. 28, 93-105 (2003). Reviewer: G.Wegner (Dortmund) MSC: 05C15 PDF BibTeX XML Cite \textit{A. J. W. Hilton} et al., Australas. J. Comb. 28, 93--105 (2003; Zbl 1031.05049)
Xie, Dezheng; Yang, Wanlian The total chromatic number of graphs of even order and high degree. (English) Zbl 1032.05056 Discrete Math. 271, No. 1-3, 295-302 (2003). MSC: 05C15 PDF BibTeX XML Cite \textit{D. Xie} and \textit{W. Yang}, Discrete Math. 271, No. 1--3, 295--302 (2003; Zbl 1032.05056) Full Text: DOI
Kostochka, Alexandr V.; Woodall, Douglas R. Total choosability of multicircuits. II. (English) Zbl 0998.05021 J. Graph Theory 40, No. 1, 44-67 (2002). Reviewer: Timothy R.Walsh (Montréal) MSC: 05C15 PDF BibTeX XML Cite \textit{A. V. Kostochka} and \textit{D. R. Woodall}, J. Graph Theory 40, No. 1, 44--67 (2002; Zbl 0998.05021) Full Text: DOI
Hilton, A. J. W.; Holroyd, F. C.; Zhao, Cheng The overfull conjecture and the conformability conjecture. (English) Zbl 0992.05037 Discrete Math. 241, No. 1-3, 343-361 (2001). Reviewer: Marietjie Frick (Pretoria) MSC: 05C15 PDF BibTeX XML Cite \textit{A. J. W. Hilton} et al., Discrete Math. 241, No. 1--3, 343--361 (2001; Zbl 0992.05037) Full Text: DOI
Kostochka, Alexandr V.; Woodall, Douglas R. Choosability conjectures and multicircuits. (English) Zbl 0989.05041 Discrete Math. 240, No. 1-3, 123-143 (2001). Reviewer: Fedor V.Fomin (Paderborn) MSC: 05C15 PDF BibTeX XML Cite \textit{A. V. Kostochka} and \textit{D. R. Woodall}, Discrete Math. 240, No. 1--3, 123--143 (2001; Zbl 0989.05041) Full Text: DOI
Johnstone, W. R.; White, D. J. Rainbow colourings of chains. (English) Zbl 0970.06001 J. Comb. Math. Comb. Comput. 35, 193-196 (2000). MSC: 06A05 06A07 03E25 05D05 PDF BibTeX XML Cite \textit{W. R. Johnstone} and \textit{D. J. White}, J. Comb. Math. Comb. Comput. 35, 193--196 (2000; Zbl 0970.06001)
Molloy, Michael; Reed, Bruce A bound on the total chromatic number. (English) Zbl 0921.05033 Combinatorica 18, No. 2, 241-280 (1998). Reviewer: Ulrike Baumann (Dresden) MSC: 05C15 PDF BibTeX XML Cite \textit{M. Molloy} and \textit{B. Reed}, Combinatorica 18, No. 2, 241--280 (1998; Zbl 0921.05033) Full Text: DOI
Kayll, P. Mark Asymptotically good colourings of graphs and multigraphs. (English) Zbl 0901.05045 Congr. Numerantium 125, 83-96 (1997). Reviewer: J.Fiamčik (Prešov) MSC: 05C15 05C70 90C10 PDF BibTeX XML Cite \textit{P. M. Kayll}, Congr. Numerantium 125, 83--96 (1997; Zbl 0901.05045)
Wong, Stephen A. Extending fixed vertex-colourings to total colourings. (English) Zbl 0888.05028 Discrete Math. 177, No. 1-3, 295-297 (1997). Reviewer: H.P.Yap (Singapore) MSC: 05C15 05C35 PDF BibTeX XML Cite \textit{S. A. Wong}, Discrete Math. 177, No. 1--3, 295--297 (1997; Zbl 0888.05028) Full Text: DOI
Borodin, O. V.; Kostochka, A. V.; Woodall, D. R. List edge and list total colourings of multigraphs. (English) Zbl 0876.05032 J. Comb. Theory, Ser. B 71, No. 2, 184-204 (1997). Reviewer: D.R.Woodall (Nottingham) MSC: 05C15 PDF BibTeX XML Cite \textit{O. V. Borodin} et al., J. Comb. Theory, Ser. B 71, No. 2, 184--204 (1997; Zbl 0876.05032) Full Text: DOI
Cowling, Peter The total graph of a hypergraph. (English) Zbl 0869.05045 Discrete Math. 167-168, 215-236 (1997). MSC: 05C65 05C85 05C15 PDF BibTeX XML Cite \textit{P. Cowling}, Discrete Math. 167--168, 215--236 (1997; Zbl 0869.05045) Full Text: DOI
Chew, K. H. An extension of Vizing’s theorem. (English) Zbl 0872.05015 J. Graph Theory 24, No. 4, 347-355 (1997). Reviewer: J.Fiamčik (Prešov) MSC: 05C15 05C35 PDF BibTeX XML Cite \textit{K. H. Chew}, J. Graph Theory 24, No. 4, 347--355 (1997; Zbl 0872.05015) Full Text: DOI
Hamilton, G. M.; Hilton, A. J. W.; Hind, H. R. F. Updating the conformability conjecture. (English) Zbl 0974.05031 Congr. Numerantium 113, 153-169 (1996). MSC: 05C15 PDF BibTeX XML Cite \textit{G. M. Hamilton} et al., Congr. Numerantium 113, 153--169 (1996; Zbl 0974.05031)
Senior, J.; Wilson, R. J. Colouring powers of paths. (English) Zbl 0857.05036 Int. J. Math. Educ. Sci. Technol. 26, No. 3, 431-437 (1995). MSC: 05C15 05C38 PDF BibTeX XML Cite \textit{J. Senior} and \textit{R. J. Wilson}, Int. J. Math. Educ. Sci. Technol. 26, No. 3, 431--437 (1995; Zbl 0857.05036) Full Text: DOI
Cowling, Peter Total colouring of hypergraphs. (English) Zbl 0840.05066 J. Comb. Math. Comb. Comput. 19, 151-160 (1995). MSC: 05C65 05C15 PDF BibTeX XML Cite \textit{P. Cowling}, J. Comb. Math. Comb. Comput. 19, 151--160 (1995; Zbl 0840.05066)
Yap, H. P. Generalization of two results of Hilton on total-colourings of a graph. (English) Zbl 0824.05025 Discrete Math. 140, No. 1-3, 245-252 (1995). Reviewer: T.R.Walsh (Montreal) MSC: 05C15 PDF BibTeX XML Cite \textit{H. P. Yap}, Discrete Math. 140, No. 1--3, 245--252 (1995; Zbl 0824.05025) Full Text: DOI
Sánchez-Arroyo, Abdón A new upper bound for total colourings of graphs. (English) Zbl 0824.05022 Discrete Math. 138, No. 1-3, 375-377 (1995). Reviewer: C.McDiarmid (Oxford) MSC: 05C15 05C35 PDF BibTeX XML Cite \textit{A. Sánchez-Arroyo}, Discrete Math. 138, No. 1--3, 375--377 (1995; Zbl 0824.05022) Full Text: DOI
Cowling, Peter Strong total chromatic numbers of complete hypergraphs. (English) Zbl 0819.05048 Discrete Math. 138, No. 1-3, 207-212 (1995). Reviewer: J.Fiamčik (Prešov) MSC: 05C65 05C15 PDF BibTeX XML Cite \textit{P. Cowling}, Discrete Math. 138, No. 1--3, 207--212 (1995; Zbl 0819.05048) Full Text: DOI
McDiarmid, Colin; Reed, Bruce On total colourings of graphs. (English) Zbl 0725.05036 J. Comb. Theory, Ser. B 57, No. 1, 122-130 (1993). Reviewer: C.McDiarmid MSC: 05C15 05C80 PDF BibTeX XML Cite \textit{C. McDiarmid} and \textit{B. Reed}, J. Comb. Theory, Ser. B 57, No. 1, 122--130 (1993; Zbl 0725.05036) Full Text: DOI
Kilakos, K.; Reed, B. Fractionally colouring total graphs. (English) Zbl 0795.05056 Combinatorica 13, No. 4, 435-440 (1993). Reviewer: J.Fiamcik MSC: 05C15 05C70 90C10 PDF BibTeX XML Cite \textit{K. Kilakos} and \textit{B. Reed}, Combinatorica 13, No. 4, 435--440 (1993; Zbl 0795.05056) Full Text: DOI
Hilton, A. J. W. Recent results on the total chromatic number. (English) Zbl 0793.05059 Discrete Math. 111, No. 1-3, 323-331 (1993). Reviewer: H.P.Yap (Singapore) MSC: 05C15 05C35 PDF BibTeX XML Cite \textit{A. J. W. Hilton}, Discrete Math. 111, No. 1--3, 323--331 (1993; Zbl 0793.05059) Full Text: DOI
Hilton, A. J. W.; Hind, H. R. The total chromatic number of graphs having large maximum degree. (English) Zbl 0785.05035 Discrete Math. 117, No. 1-3, 127-140 (1993). Reviewer: H.P.Yap (Singapore) MSC: 05C15 05C35 PDF BibTeX XML Cite \textit{A. J. W. Hilton} and \textit{H. R. Hind}, Discrete Math. 117, No. 1--3, 127--140 (1993; Zbl 0785.05035) Full Text: DOI
Hu, Guanzhang; Zhang, Zhongfu On the edge-face total colouring of planar graphs. (Chinese. English summary) Zbl 0933.05059 J. Tsinghua Univ., Sci. Technol. 32, No. 3, 18-23 (1992). MSC: 05C15 PDF BibTeX XML Cite \textit{G. Hu} and \textit{Z. Zhang}, J. Tsinghua Univ., Sci. Technol. 32, No. 3, 18--23 (1992; Zbl 0933.05059)
Kilakos, K.; Reed, B. A semi-integral total colouring. (English) Zbl 0785.05037 Halász, G. (ed.) et al., Sets, graphs and numbers. A birthday salute to Vera T. Sós and András Hajnal. Amsterdam: North-Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 60, 429-438 (1992). MSC: 05C15 PDF BibTeX XML Cite \textit{K. Kilakos} and \textit{B. Reed}, in: Sets, graphs and numbers. A birthday salute to Vera T. Sós and András Hajnal. Amsterdam: North-Holland Publishing Company. 429--438 (1992; Zbl 0785.05037)
Yap, H. P.; Chew, K. H. Total chromatic number of graphs of high degree. II. (English) Zbl 0768.05043 J. Aust. Math. Soc., Ser. A 53, No. 2, 219-228 (1992). Reviewer: J.Fiamcik MSC: 05C15 PDF BibTeX XML Cite \textit{H. P. Yap} and \textit{K. H. Chew}, J. Aust. Math. Soc., Ser. A 53, No. 2, 219--228 (1992; Zbl 0768.05043)
Chetwynd, A. G. Total colourings of graphs—a progress report. (English) Zbl 0840.05024 Alavi, Yousef (ed.) et al., Graph theory, combinatorics, and applications, Vol. 1. Proceedings of the sixth quadrennial international conference on the theory and applications of graphs held at Western Michigan University, Kalamazoo, Michigan, May 30-June 3, 1988. New York: John Wiley & Sons Ltd. Wiley-Interscience Publication. 233-244 (1991). MSC: 05C15 PDF BibTeX XML Cite \textit{A. G. Chetwynd}, in: Graph theory, combinatorics, and applications, Vol. 1. Proceedings of the sixth quadrennial international conference on the theory and applications of graphs held at Western Michigan University, Kalamazoo, Michigan, May 30-June 3, 1988. New York: John Wiley \&| Sons Ltd.. 233--244 (1991; Zbl 0840.05024)
Hilton, A. J. W.; Cheng, Zhao The relationship between an edge colouring conjecture and a total colouring conjecture. (English) Zbl 0741.05030 J. Comb. Math. Comb. Comput. 10, 83-95 (1991). Reviewer: U.Baumann (Dresden) MSC: 05C15 PDF BibTeX XML Cite \textit{A. J. W. Hilton} and \textit{Z. Cheng}, J. Comb. Math. Comb. Comput. 10, 83--95 (1991; Zbl 0741.05030)
Jones, Kathryn F.; Ryan, Jennifer Totally colouring a graph with maximum degree four. (English) Zbl 0735.05039 Ars Comb. 31, 277-285 (1991). Reviewer: I.Tomescu MSC: 05C15 PDF BibTeX XML Cite \textit{K. F. Jones} and \textit{J. Ryan}, Ars Comb. 31, 277--285 (1991; Zbl 0735.05039)
Ryan, Jennifer Fractional total colouring. (English) Zbl 0731.05018 Discrete Appl. Math. 27, No. 3, 287-292 (1990). Reviewer: M.Koman (Praha) MSC: 05C15 90C90 PDF BibTeX XML Cite \textit{J. Ryan}, Discrete Appl. Math. 27, No. 3, 287--292 (1990; Zbl 0731.05018) Full Text: DOI
Ye, Hongbo; Wang, Jianfang; Zhang, Zhongfu Total chromatic number of graphs of high degree. (English) Zbl 0729.05018 Chin. Sci. Bull. 35, No. 17, 1492 (1990). MSC: 05C15 PDF BibTeX XML Cite \textit{H. Ye} et al., Chin. Sci. Bull. 35, No. 17, 1492 (1990; Zbl 0729.05018)
Hilton, A. J. W. A total-chromatic number analogue of Plantholt’s theorem. (English) Zbl 0714.05025 Discrete Math. 79, No. 2, 169-175 (1990). Reviewer: I.Tomescu MSC: 05C15 PDF BibTeX XML Cite \textit{A. J. W. Hilton}, Discrete Math. 79, No. 2, 169--175 (1990; Zbl 0714.05025) Full Text: DOI
Zhang, Zhongfu; Wu, Beili Total graph with applications. (Chinese. English summary) Zbl 0747.05097 J. Lanzhou Railw. Coll. 9, No. 4, 21-27 (1990). MSC: 05C99 05C90 05C15 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{B. Wu}, J. Lanzhou Railw. Coll. 9, No. 4, 21--27 (1990; Zbl 0747.05097)
Sánchez-Arroyo, Abdón Determining the total colouring number is NP-hard. (English) Zbl 0695.05023 Discrete Math. 78, No. 3, 315-319 (1989). Reviewer: H.-P.Yap MSC: 05C15 68R10 68Q25 PDF BibTeX XML Cite \textit{A. Sánchez-Arroyo}, Discrete Math. 78, No. 3, 315--319 (1989; Zbl 0695.05023) Full Text: DOI
Yap, H. P. Total colourings of graphs. (English) Zbl 0636.05025 Bull. Lond. Math. Soc. 21, No. 2, 159-163 (1989). Reviewer: H.-P.Yap MSC: 05C15 PDF BibTeX XML Cite \textit{H. P. Yap}, Bull. Lond. Math. Soc. 21, No. 2, 159--163 (1989; Zbl 0636.05025) Full Text: DOI
Wang, Jianfang; Zhang, Zhongfu On a theorem of total chromatic number of a graph. (Chinese. English summary) Zbl 0689.05024 J. Lanzhou Railw. Coll. 7, No. 4, 39-42 (1988). MSC: 05C15 PDF BibTeX XML Cite \textit{J. Wang} and \textit{Z. Zhang}, J. Lanzhou Railw. Coll. 7, No. 4, 39--42 (1988; Zbl 0689.05024)
Chetwynd, A. G.; Hilton, A. J. W. Some refinements of the total chromatic number conjecture. (English) Zbl 0677.05026 Combinatorics, graph theory, and computing, Proc. 19th Southeast. Conf., Boca Raton/Fla. 1988, Congr. Numerantium 66, 195-216 (1988). Reviewer: U.Baumann MSC: 05C15 PDF BibTeX XML
Zhang, Zhongfu; Zhang, Jianxun; Wang, Jianfang The total chromatic number of some graphs. (English) Zbl 0664.05017 Sci. Sin., Ser. A 31, No. 12, 1434-1441 (1988). Reviewer: I.Tomescu MSC: 05C15 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Sci. Sin., Ser. A 31, No. 12, 1434--1441 (1988; Zbl 0664.05017)
Hilton, A. J. W. Recent results on edge-colouring graphs, with applications to the total- chromatic number. (English) Zbl 0661.05025 J. Comb. Math. Comb. Comput. 3, 121-134 (1988). Reviewer: I.Tomescu MSC: 05C15 PDF BibTeX XML Cite \textit{A. J. W. Hilton}, J. Comb. Math. Comb. Comput. 3, 121--134 (1988; Zbl 0661.05025)
Borodin, O. V. Simultaneous colorings of graphs on the plane. (Russian) Zbl 0643.05029 Metody Diskretn. Anal. 45, 21-27 (1987). Reviewer: G.Dimitriu MSC: 05C15 PDF BibTeX XML Cite \textit{O. V. Borodin}, Metody Diskretn. Anal. 45, 21--27 (1987; Zbl 0643.05029)
Vacirca, Vincenzo On some parameters associated with the modulus of a totally coloured digraph. (Italian) Zbl 0627.05027 Matematiche 37(1986), 189-204 (1982). Reviewer: R.C.Read MSC: 05C15 PDF BibTeX XML Cite \textit{V. Vacirca}, Matematiche 37, 189--204 (1986; Zbl 0627.05027)
Milazzo, F.; Vacirca, V On the total oriented s-chromatic number of some remarkable classes of antisymmetric complete digraphs. (Italian. English summary) Zbl 0534.05031 Boll. Unione Mat. Ital., VI. Ser., A 3, 151-157 (1984). Reviewer: R.C.Read MSC: 05C15 05C20 PDF BibTeX XML Cite \textit{F. Milazzo} and \textit{V Vacirca}, Boll. Unione Mat. Ital., VI. Ser., A 3, 151--157 (1984; Zbl 0534.05031)