Results 31 to 40 of about 15,285 (303)

Trees with Certain Locating-chromatic Number

open access: yesJournal of Mathematical and Fundamental Sciences, 2016
The locating-chromatic number of a graph G can be defined as the cardinality of a minimum resolving partition of the vertex set V(G) such that all vertices have distinct coordinates with respect to this partition and every two adjacent vertices in G are ...
Dian Kastika Syofyan   +2 more
doaj   +1 more source

Rainbow connection number of comb product of graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2022
An edge-colored graph G is called a rainbow connected if any two vertices are connected by a path whose edges have distinct colors. Such a path is called a rainbow path.
Dinny Fitriani   +2 more
doaj   +1 more source

Combinatorial coverings from geometries over principal ideal rings [PDF]

open access: yes, 1999
Journal of Combinatorial Designs74247 ...
Yeow Meng Chee   +5 more
core   +1 more source

The complete list of Ramsey $(2K_2,K_4)$-minimal graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2015
Let $F, G,$ and $H$ be non-empty graphs. The notation $F \rightarrow (G,H)$ means that if all edges of $F$ are arbitrarily colored by red or blue, then either the subgraph of $F$ induced by all red edges contains a graph $G$ or the subgraph of $F ...
Kristiana Wijaya   +3 more
doaj   +1 more source

Restricted Size Ramsey Number Involving Matching and Graph of Order Five

open access: yesJournal of Mathematical and Fundamental Sciences, 2020
Harary and Miller (1983) started the research on the (restricted) size Ramsey number for a pair of small graphs. They obtained the values for some pairs of small graphs with order not more than four.
Denny Riama Silaban   +2 more
doaj   +1 more source

The total vertex irregularity strength of symmetric cubic graphs of the Foster's Census

open access: yesIndonesian Journal of Combinatorics, 2022
Foster (1932) performed a mathematical census for all connected symmetric cubic (trivalent) graphs of order n with n ≤ 512. This census then was continued by Conder et al. (2006) and they obtained the complete list of all connected symmetric cubic graphs
Rika Yanti   +3 more
doaj   +1 more source

Sequences on Graphs with Symmetries [PDF]

open access: yes, 2011
An interesting symmetry on multiplication of numbers found by Prof.Smarandache recently. By considering integers or elements in groups on graphs, we extend this symmetry on graphs and find geometrical symmetries.
Mao, Linfan, Linfan Mao
core   +1 more source

On the inverse graph of a finite group and its rainbow connection number

open access: yesElectronic Journal of Graph Theory and Applications, 2023
A rainbow path in an edge-colored graph G is a path that every two edges have different colors. The minimum number of colors needed to color the edges of G such that every two distinct vertices are connected by a rainbow path is called the rainbow ...
Rian Febrian Umbara   +2 more
doaj   +1 more source

All graphs of order n ≥ 11 and diameter 2 with partition dimension n − 3

open access: yesHeliyon, 2020
All graphs of order n with partition dimension 2, n−2, n−1, or n have been characterized. However, finding all graphs on n vertices with partition dimension other than these above numbers is still open.
Edy Tri Baskoro, Debi Oktia Haryeni
doaj   +1 more source

Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an ...
Iliya Bouyukliev   +2 more
doaj   +1 more source

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