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Strategic Competence of Pre-Service Mathematics Teachers in Solving Environment and Culture-Based Combinatorial Problems [PDF]
BIO Web of Conferences, 2023 Strategy is a very important part in solving mathematical problems. Pre-service mathematics teachers must master a variety of problem solving strategies.
Ramadhona Rezky +2 more
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The strong 3-rainbow index of some certain graphs and its amalgamation [PDF]
Opuscula Mathematica, 2022 We introduce a strong \(k\)-rainbow index of graphs as modification of well-known \(k\)-rainbow index of graphs. A tree in an edge-colored connected graph \(G\), where adjacent edge may be colored the same, is a rainbow tree if all of its edges have ...
Zata Yumni Awanis, A.N.M. Salman
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On locating-dominating number of comb product graphs
Indonesian Journal of Combinatorics, 2020 We consider a set D ⊆ V(G) which dominate G and for every two distinct vertices x, y ∈ V(G) \ D, the open neighborhood of x and y in D are different. The minimum cardinality of D is called the locating-dominating number of G.
Aswan Anggun Pribadi +1 more
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Locating-chromatic number of the edge-amalgamation of trees
Indonesian Journal of Combinatorics, 2020 The investigation on the locating-chromatic number of a graph was initiated by Char- trand et al. (2002). This concept is in fact a special case of the partition dimension of a graph. This topic has received much attention. However, the results are still
Dian Kastika Syofyan +2 more
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The geodetic domination number of comb product graphs
Electronic Journal of Graph Theory and Applications, 2020 A subset S of vertices in graph G is called a geodetic set if every vertex in V(G) \ S lies on a shortest path between two vertices in S. A subset S of vertices in G is called a dominating set if every vertex in V(G) \ S is adjacent to a vertex in S ...
Dimas Agus Fahrudin, Suhadi Wido Saputro
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The connected size Ramsey number for matchings versus small disconnected graphs
Electronic Journal of Graph Theory and Applications, 2019 Let F, G, and H be simple graphs. The notation F → (G, H) means that if all the edges of F are arbitrarily colored by red or blue, then there always exists either a red subgraph G or a blue subgraph H.
Hilda Assiyatun +2 more
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The rainbow 2-connectivity of Cartesian products of 2-connected graphs and paths
Electronic Journal of Graph Theory and Applications, 2020 An edge-colored graph G is rainbow k-connected, if there are k-internally disjoint rainbow paths connecting every pair of vertices of G. The rainbow k-connection number of G, denoted by rck(G), is the minimum number of colors needed for which there ...
Bety Hayat Susanti +2 more
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Total vertex irregularity strength of trees with maximum degree five
Electronic Journal of Graph Theory and Applications, 2018 In 2010, Nurdin, Baskoro, Salman and Gaos conjectured that the total vertex irregularity strength of any tree T is determined only by the number of vertices of degrees 1, 2 and 3 in T. This paper will confirm this conjecture by considering all trees with
S. Susilawati +2 more
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On Size Bipartite and Tripartite Ramsey Numbers for The Star Forest and Path on 3 Vertices
Journal of Mathematical and Fundamental Sciences, 2020 For simple graphs G and H the size multipartite Ramsey number mj(G,H) is the smallest natural number t such that any arbitrary red-blue coloring on the edges of Kjxt contains a red G or a blue H as a subgraph.
Anie Lusiani +2 more
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Ramsey minimal graphs for a pair of a cycle on four vertices and an arbitrary star
Electronic Journal of Graph Theory and Applications, 2022 Let F, G and H be simple graphs. The notation F → (G, H) means that for any red-blue coloring on the edges of graph F, there exists either a red copy of G or a blue copy of H.
Maya Nabila +2 more
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