Research Article610.1016/j.akcej.2018.08.005Isolate and independent domination number of some classes of graphsOct 11, 2018AKCE International Journal of Graphs and CombinatoricsShilpa T Bhangale + 1 more +1CiteListenSave
Research Article110.1016/j.akcej.2018.09.001On 3-total edge product cordial labeling of a carbon nanotube networkSep 17, 2018AKCE International Journal of Graphs and CombinatoricsMartin Bača + 2 more +2CiteListenSave
Research Article1010.1016/j.akcej.2018.07.003F index of graphs based on four new operations related to the strong productAug 14, 2018AKCE International Journal of Graphs and CombinatoricsD Sarala + 3 more +3For a molecular graph, the first Zagreb index of a graph is equal to the sum of squares of the vertex degrees of the graph and the forgotten topological index (F-index) of a graph is defined as the sum of cubes of the vertex degrees of the graph. These parameters have applications in chemistry and drug structures. In this paper, we study the F index of strong product of two connected graphs in which one of the graphs is obtained by using four new sums called F sums of graphs and the other is any connected graph.Read moreCiteListenSave
Research Article310.1016/j.akcej.2018.06.005Binomial trees are gracefulJun 23, 2018AKCE International Journal of Graphs and CombinatoricsP Ragukumar + 1 more +1The binomial tree B0 consists of a single vertex. The binomial tree Bk is an ordered tree defined recursively. The binomial tree Bk consists of two binomial trees Bk−1 that are linked together: the root of one is the leftmost child of the root of the other. The popular Graceful Tree Conjecture states that every tree is graceful. In this paper, we show that binomial trees Bk is graceful for every k≥0.Read moreCiteListenSave
Research Article12310.1016/j.akcej.2018.05.002Beyond the Zagreb indicesJun 19, 2018AKCE International Journal of Graphs and CombinatoricsIvan Gutman + 2 more +2The two Zagreb indices M1=∑vd(v)2 and M2=∑uvd(u)d(v) are vertex-degree-based graph invariants that have been introduced in the 1970s and extensively studied ever since. In the last few years, a variety of modifications of M1 and M2 were put forward. The present survey of these modified Zagreb indices outlines their main mathematical properties, and provides an exhaustive bibliography.Read moreCiteListenSave
Research Article910.1016/j.akcej.2018.01.008formula omitted]-super antimagic total labeling of comb product of graphsFeb 13, 2018AKCE International Journal of Graphs and CombinatoricsIka Hesti Agustin + 2 more +2CiteListenSave
Research Article510.1016/j.akcej.2018.01.015Some properties of 2-absorbing primary ideals in latticesFeb 02, 2018AKCE International Journal of Graphs and CombinatoricsMeenakshi P Wasadikar + 1 more +1CiteListenSave
Research Article110.1016/j.akcej.2018.01.010Generalized projections in [formula omittedFeb 01, 2018AKCE International Journal of Graphs and CombinatoricsA.s Khairnar + 1 more +1CiteListenSave
Research Article410.1016/j.akcej.2017.12.003Effect of vertex deletion on the weak Roman domination number of a graphJan 05, 2018AKCE International Journal of Graphs and CombinatoricsP Roushini Leely Pushpam + 1 more +1CiteListenSave
Research Article710.1016/j.akcej.2017.09.001Client–server and cost effective sets in graphsDec 14, 2017AKCE International Journal of Graphs and CombinatoricsMustapha Chellali + 2 more +2CiteListenSave