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Strategic Competence of Pre-Service Mathematics Teachers in Solving Environment and Culture-Based Combinatorial Problems [PDF]
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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Combinatorial Speculations and the Combinatorial Conjecture for Mathematics [PDF]
19 pages with 6 ...
Linfan Mao
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The strong 3-rainbow index of some certain graphs and its amalgamation [PDF]
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
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
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 rainbow 2-connectivity of Cartesian products of 2-connected graphs and paths
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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Let and be simple graphs. We write to mean that any red–blue coloring of all edges of will contain either a red copy of or a blue copy of A graph (without isolated vertices) satisfying and for each is called a Ramsey -minimal graph. The set of all Ramsey
Kristiana Wijaya +3 more
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The connected size Ramsey number for matchings versus small disconnected graphs
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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Total vertex irregularity strength of trees with maximum degree five
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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The geodetic domination number of comb product graphs
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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