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The network host IP interface binds the gateway address to the MAC address of the physical gateway by broadcasting IP datagrams and caching the MAC address of the reply from the gateway in an ARP table stored on the host. The gateway address may be added manually. On Windows computers, the gateway address is configured using the TCP/IP Properties.
Some forms of city directories provide this form of lookup for listed services by phone number, along with address cross-referencing. Publicly accessible reverse telephone directories may be provided as part of the standard directory services from the telecommunications carrier in some countries.
A residential gateway usually provides configuration via a web interface, [9] or app on mobile device. routing between the home network and the Internet. connectivity within the home network like a network switch, hub, or WLAN base station. network address translation (NAT), [10] [11] DHCP for IPv4 and IPv6, [12] [11] and; firewall functions [11]
The choosability (or list colorability or list chromatic number) ch(G) of a graph G is the least number k such that G is k-choosable. More generally, for a function f assigning a positive integer f(v) to each vertex v, a graph G is f-choosable (or f-list-colorable) if it has a list coloring no matter how one assigns a list of f(v) colors to ...
The default gateway can be specified by the route command to configure the node's routing table and default route. In a home or small office environment, the default gateway is a device, such as a DSL router or cable router, that connects the local network to the Internet. It serves as the default gateway for all network devices.
On an Internet Protocol (IP) network, IP packets with a destination outside a given subnetwork are sent to the network gateway. For example, if a private network has a base IPv4 address of 192.168.1.0 and has a subnet mask of 255.255.255.0, then any data addressed to an IP address outside of 192.168.1.0–192.168.1.255 is sent to the network ...
The default route in Internet Protocol Version 4 (IPv4) is designated as the zero address, 0.0.0.0 / 0 in CIDR notation. [2] Similarly, in IPv6 , the default route is specified by :: / 0 . The subnet mask is specified as / 0 , which effectively specifies all networks and is the shortest match possible.
Let G be a finite, strongly connected, directed graph where all the vertices have the same out-degree k.Let A be the alphabet containing the letters 1, ..., k.A synchronizing coloring (also known as a collapsible coloring) in G is a labeling of the edges in G with letters from A such that (1) each vertex has exactly one outgoing edge with a given label and (2) for every vertex v in the graph ...