walking being the oldest form of urban transport, and until the advent of major transformationsin transport technology in the nineteenth century, most cities were structured in ways that supported walkability.today, there is a change in transportation which emphasizes, the traditional pedestrian paths which are increasinglybecoming non-regulated spaces when compared to the urban spaces for auto...

Let G=(V,E) be a simple connected graph of order p and size q. A decomposition of a graph G is a collection π of edge-disjoint subgraphs G_1,G_2,…,G_n of G such that every edge of G belongs to exactly one G_i,(1≤i ≤n). The decomposition 〖π={G〗_1,G_2,…,G_n} of a connected graph G is said to be a distinct edge geodetic decomposition if g_1 (G_i )≠g_1 (G_j ),(1≤i≠j≤n). The maximum cardinality of π...