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Applied Mathematics and Computation, ISSN 0096-3003, 11/2019, Volume 360, pp. 213 - 220
In 2008, Chartrand et al. first introduced the concept of rainbow connection. Since then the study of rainbow connection has received considerable attention in... 
Total rainbow connection number | Thorn graph | Outerplanar graph | Rainbow 2-connection number | Diameter | Information science | Statistics
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 07/2018, Volume 243, pp. 248 - 261
An arc-coloured path in a digraph is rainbow if its arcs have distinct colours. A vertex-coloured path is vertex rainbow if its internal vertices have distinct... 
Rainbow connection | Rainbow vertex-connection | Total rainbow connection | Digraphs | MATHEMATICS, APPLIED | VERTEX-CONNECTION | HARDNESS | Computer Science | Discrete Mathematics
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 11/2018, Volume 38, Issue 4, pp. 1023 - 1036
A total-colored graph is rainbow total-connected if any two vertices of are connected by a path whose edges and internal vertices have distinct colors. The... 
rainbow total-connection number | 05C75 | complementary graph | Erdős-Gallai type problem | Rainbow total-coloring | 05C35 | 05C15 | Complementary graph | Erd os-Gallai type problem | Rainbow total-connection number | MATHEMATICS | DIAMETER | COMPLEXITY | Erdos-Gallai type problem | ALGORITHMS | HARDNESS
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 02/2018, Volume 236, pp. 288 - 305
An edge-coloured path is rainbow if its edges have distinct colours. For a connected graph G, the rainbow connection number (resp. strong rainbow connection... 
Cactus digraph | Digraph | Total rainbow connection | Tournament | Biorientation | MATHEMATICS, APPLIED | GRAPHS | Mathematics - Combinatorics
Journal Article
Results in Mathematics, ISSN 1422-6383, 12/2017, Volume 72, Issue 4, pp. 2079 - 2100
A graph is said to be total-colored if all the edges and the vertices of the graph are colored. A total-colored graph is total-rainbow connected if any two... 
Nordhaus–Gaddum-type upper bound | 05C40 | total-rainbow connection number | complementary graph | Mathematics, general | Mathematics | Total-rainbow path | 05C35 | 05C38 | 05C15 | MATHEMATICS | MATHEMATICS, APPLIED | DIAMETER | Nordhaus-Gaddum-type upper bound
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 07/2017, Volume 305, pp. 27 - 31
A total-coloring of a graph G is a coloring of both the edge set E(G) and the vertex set V(G) of G. A path in a total-colored graph is called total-rainbow if... 
Computational complexity | Total-rainbow k-connection number | NP-complete | MATHEMATICS, APPLIED | Mechanical properties | Hardness
Journal Article
by Ma, YB and Chen, LL and Li, HZ
FRONTIERS OF MATHEMATICS IN CHINA, ISSN 1673-3452, 08/2017, Volume 12, Issue 4, pp. 921 - 936
A total-colored path is total rainbow if its edges and internal vertices have distinct colors. A total-colored graph G is total rainbow connected if any two... 
total rainbow connection number | MATHEMATICS | total rainbow path | COMPLEXITY | clique number | Total-coloring | total rainbow connected | Graphs | Graph theory | Mathematical analysis | Color
Journal Article
Results in Mathematics, ISSN 1422-6383, 9/2016, Volume 70, Issue 1, pp. 173 - 182
A vertex-colored graph G is rainbow vertex connected if any two distinct vertices are connected by a path whose internal vertices have distinct colors. The... 
total rainbow path | rainbow vertex connected | 05C40 | Mathematics | Vertex-coloring | total rainbow connected | triangle-free | total-coloring | complementary graph | Mathematics, general | Nordhaus–Gaddum-type | vertex rainbow path | 05C15 | Nordhaus-Gaddum-type | MATHEMATICS, APPLIED | MATHEMATICS | VERTEX-CONNECTION | COMPLEXITY
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2017, Volume 311, pp. 223 - 227
A total-colored graph G is total rainbow connected if any two vertices are connected by a path whose edges and inner vertices have distinct colors. A graph G... 
Total rainbow coloring | Total rainbow connection number | Minimally total rainbow k-connected graph | MATHEMATICS, APPLIED | NUMBERS | COMPLEXITY
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 10/2015, Volume 194, pp. 171 - 177
A path P connecting two vertices u and v in a total-colored graph G is called a rainbow total-path between u and v if all elements in V(P)∪E(P), except for u... 
Rainbow total-coloring | Rainbow total-connection number | Nordhaus–Gaddum-type | Nordhaus-Gaddum-type | CONNECTION | MATHEMATICS, APPLIED
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 7/2016, Volume 32, Issue 1, pp. 260 - 266
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 05/2016, Volume 36, Issue 2, pp. 355 - 362
A total-colored path is total rainbow if both its edges and internal vertices have distinct colors. The total rainbow connection number of a connected graph G,... 
total rainbow connection | computational complexity | Computational complexity | Total rainbow connection | MATHEMATICS | VERTEX-CONNECTION | COMPLEXITY | ALGORITHMS | MINIMUM DEGREE
Journal Article
by Liu, SJ and Liu, YL and Xing, HM and An, MQ and Li, J
ARS COMBINATORIA, ISSN 0381-7032, 01/2019, Volume 143, pp. 237 - 246
A graph is said to be total-colored if all the edges and the vertices of the graph are colored. Let k be a positive integer. A path P in a total-colored graph... 
2-connected graph | MATHEMATICS | NUMBER | total-rainbow coloring | total-rainbow k-connected
Journal Article
by Ma, YB and Chen, L and Li, HZ and Li, HF
UTILITAS MATHEMATICA, ISSN 0315-3681, 03/2016, Volume 99, pp. 143 - 150
A total-colored path is total rainbow if its edges and internal vertices have distinct colors. A total-colored graph G is total rainbow connected if any two... 
total rainbow connection number | MATHEMATICS, APPLIED | total rainbow path | STATISTICS & PROBABILITY | Total-coloring
Journal Article
Utilitas Mathematica, ISSN 0315-3681, 09/2018, Volume 108, pp. 265 - 272
A total-colored path is total rainbow if its edges and internal vertices have distinct colors. A total-colored graph G is total rainbow 2-connected if any two... 
Total rainbow connection number | Total-coloring | Total rainbow 2-connection number | Total rainbow path | total rainbow connection number | MATHEMATICS, APPLIED | total-coloring | STATISTICS & PROBABILITY | DIGRAPHS | total rainbow 2-connection number | K-CONNECTION
Journal Article
Theory and Applications of Graphs, ISSN 2470-9859, 2017, Issue 1, pp. 1 - 65
The concept of rainbow connection was introduced by Chartrand, Johns, McKeon and Zhang in 2008. Nowadays it has become a new and active subject in graph... 
total rainbow connection number | rainbow connection coloring | rainbow vertex-connection number | rainbow $k$-connectivity | rainbow connection number | strong rainbow connection number | rainbow index | algorithm | computational complexity
Journal Article
WSEAS Transactions on Mathematics, ISSN 1109-2769, 03/2013, Volume 12, Issue 3, pp. 266 - 276
Journal Article
Utilitas Mathematica, ISSN 0315-3681, 07/2013, Volume 91, pp. 243 - 260
A path in an edge-coloring graph G, where adjacent edges may be colored the same, is called a rainbow path if no two edges of G are colored the same. A... 
Toted graph | Edge-colored graph | Rainbow path | Middle graph | Rainbow connection number | MATHEMATICS, APPLIED | rainbow path | edge-colored graph | total graph | rainbow connection number | STATISTICS & PROBABILITY | MINIMUM DEGREE | middle graph
Journal Article
Journal Article
International Journal of Applied Mathematics and Statistics, ISSN 0973-1377, 2013, Volume 42, Issue 12, pp. 361 - 369
Journal Article
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