Results 81 to 90 of about 1,773 (109)

Distinguishing Cartesian Products of Countable Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
The distinguishing number D(G) of a graph G is the minimum number of colors needed to color the vertices of G such that the coloring is preserved only by the trivial automorphism.
Estaji Ehsan   +4 more
doaj   +1 more source

Rainbow Connection Number of Graphs with Diameter 3

open access: yesDiscussiones Mathematicae Graph Theory, 2017
A path in an edge-colored graph G is rainbow if no two edges of the path are colored the same. The rainbow connection number rc(G) of G is the smallest integer k for which there exists a k-edge-coloring of G such that every pair of distinct vertices of G
Li Hengzhe, Li Xueliang, Sun Yuefang
doaj   +1 more source

Kaleidoscopic Colorings of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
For an r-regular graph G, let c : E(G) → [k] = {1, 2, . . . , k}, k ≥ 3, be an edge coloring of G, where every vertex of G is incident with at least one edge of each color.
Chartrand Gary, English Sean, Zhang Ping
doaj   +1 more source

Distance-based topological polynomials and indices of friendship graphs. [PDF]

open access: yesSpringerplus, 2016
Gao W   +3 more
europepmc   +1 more source

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